I did the calculation at B3LYP/def2-TZVP level for MgH2 using Multiwfn, the data of the (3,-1) critical point between H and Mg is shown below; as you can see, electron density, Laplacian of electron density as well as ELF, are close to the corresponding data in your screenshot.

 Note: Unless otherwise specified, all units are in a.u.
 Position (Bohr):        0.000000000000    0.000000000000    1.652486507069
 Position (Angstrom):    0.000000000000    0.000000000000    0.874458200866
 CP type: (3,-1)
 Density of all electrons:  0.5469742512E-01
 Density of Alpha electrons:  0.2734871256E-01
 Density of Beta electrons:  0.2734871256E-01
 Spin density of electrons:  0.0000000000E+00
 Lagrangian kinetic energy G(r):  0.5838181073E-01
 G(r) in X,Y,Z:  0.2148998345E-02  0.2148998345E-02  0.5408381404E-01
 Hamiltonian kinetic energy K(r):  0.3819791954E-02
 Potential energy density V(r): -0.6220160269E-01
 Energy density E(r) or H(r): -0.3819791954E-02
 Laplacian of electron density:  0.2182480751E+00
 Electron localization function (ELF):  0.1305824033E+00
 Localized orbital locator (LOL):  0.2793399011E+00
 Local information entropy:  0.2166407157E-01
 Interaction region indicator (IRI):  0.1272295350E-15
 Reduced density gradient (RDG):  0.1000000000E+03
 Reduced density gradient with promolecular approximation:  0.5597729892E+00
 Sign(lambda2)*rho: -0.5469742512E-01
 Sign(lambda2)*rho with promolecular approximation: -0.7137381609E-01
 Corr. hole for alpha, ref.:   0.00000   0.00000   0.00000 : -0.2034958334E-04
 Source function, ref.:   0.00000   0.00000   0.00000 : -0.1050999806E-01
 Wavefunction value for orbital       1 : -0.1807371941E-03
 Average local ionization energy (ALIE):  0.7497048534E+00
 van der Waals potential (probe atom: C ):  0.2621679753E+07 kcal/mol
 Delta-g (under promolecular approximation):  0.5484493944E-01
 Delta-g (under Hirshfeld partition):  0.1073760025E+00
 User-defined real space function:  0.0000000000E+00
 ESP from nuclear charges:  0.8108603916E+01
 ESP from electrons: -0.7649101948E+01
 Total ESP:  0.4595019682E+00 a.u. ( 0.1250368E+02 eV, 0.2883421E+03 kcal/mol)

----------------   CP     1,     Type (3,-3)   ----------------
Corresponding nucleus:     2(H )
Position (Bohr):        0.000000000000    0.000000000000    3.234990182304
Position (Angstrom):    0.000000000000    0.000000000000    1.711883081970
Density of all electrons:  0.2859123849E+00
Density of Alpha electrons:  0.1429561925E+00
Density of Beta electrons:  0.1429561925E+00
Spin density of electrons:  0.0000000000E+00
Lagrangian kinetic energy G(r):  0.8353885372E-03
G(r) in X,Y,Z:  0.6587947594E-06  0.6587947594E-06  0.8340709477E-03
Hamiltonian kinetic energy K(r):  0.4847582783E+01
Potential energy density V(r): -0.4848418171E+01
Energy density E(r) or H(r): -0.4847582783E+01
Laplacian of electron density: -0.1938698958E+02
Electron localization function (ELF):  0.9999943697E+00
Localized orbital locator (LOL):  0.9976607255E+00
Local information entropy:  0.7946581824E-01
Interaction region indicator (IRI):  0.1377899448E-14
Reduced density gradient (RDG):  0.1000000000E+03
Reduced density gradient with promolecular approximation:  0.1000000000E+03
Sign(lambda2)*rho: -0.2859123849E+00
Sign(lambda2)*rho with promolecular approximation: -0.2859993958E+00
Corr. hole for alpha, ref.:   0.00000   0.00000   0.00000 : -0.1290013554E-03
Source function, ref.:   0.00000   0.00000   0.00000 :  0.4769002453E+00
Wavefunction value for orbital       1 :  0.5068760802E-01
Average local ionization energy (ALIE):  0.0000000000E+00
van der Waals potential (probe atom: C ):  0.2597077372E+44 kcal/mol
Delta-g (under promolecular approximation):  0.9860070603E-02
Delta-g (under Hirshfeld partition):  0.9183522735E-02
User-defined real space function:  0.1000000000E+01
ESP from nuclear charges:  0.8277109152E+03
ESP from electrons: -0.4355111772E+01
Total ESP:  0.8233558034E+03 a.u. ( 0.2240465E+05 eV, 0.5166640E+06 kcal/mol)

Note: Below information are for electron density

Components of gradient in x/y/z are:
  0.0000000000E+00  0.0000000000E+00 -0.3475952165E-15
Norm of gradient is:  0.3475952165E-15

Components of Laplacian in x/y/z are:
-0.6464031596E+01 -0.6464031596E+01 -0.6458926384E+01
Total: -0.1938698958E+02

Hessian matrix:
-0.6464031596E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00 -0.6464031596E+01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00 -0.6458926384E+01
Eigenvalues of Hessian: -0.6464031596E+01 -0.6464031596E+01 -0.6458926384E+01
Eigenvectors (columns) of Hessian:
  0.1000000000E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00  0.1000000000E+01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1000000000E+01
Determinant of Hessian: -0.2698778713E+03
Ellipticity of electron density:    0.000000
eta index:   -1.000790

----------------   CP     2,     Type (3,-3)   ----------------
Corresponding nucleus:     1(Mg)
Position (Bohr):        0.000000000000    0.000000000000    0.000000350003
Position (Angstrom):    0.000000000000    0.000000000000    0.000000185214
Density of all electrons:  0.1056968865E+04
Density of Alpha electrons:  0.5284844326E+03
Density of Beta electrons:  0.5284844326E+03
Spin density of electrons:  0.0000000000E+00
Lagrangian kinetic energy G(r):  0.1444513333E+04
G(r) in X,Y,Z:  0.4762425043E+03  0.4762425043E+03  0.4920283245E+03
Hamiltonian kinetic energy K(r):  0.7542315441E+07
Potential energy density V(r): -0.7543759954E+07
Energy density E(r) or H(r): -0.7542315441E+07
Laplacian of electron density: -0.3016348371E+08
Electron localization function (ELF):  0.9999789579E+00
Localized orbital locator (LOL):  0.9954337292E+00
Local information entropy: -0.3264601751E+03
Interaction region indicator (IRI):  0.2680475097E-16
Reduced density gradient (RDG):  0.1000000000E+03
Reduced density gradient with promolecular approximation:  0.1000000000E+03
Sign(lambda2)*rho: -0.1056968865E+04
Sign(lambda2)*rho with promolecular approximation: -0.1053504338E+04
Corr. hole for alpha, ref.:   0.00000   0.00000   0.00000 : -0.5284844326E+03
Source function, ref.:   0.00000   0.00000   0.00000 :  0.6858041181E+13
Wavefunction value for orbital       1 :  0.3547976389E+01
Average local ionization energy (ALIE):  0.0000000000E+00
van der Waals potential (probe atom: C ):  0.2176208440+148 kcal/mol
Delta-g (under promolecular approximation):  0.2069795937E-02
Delta-g (under Hirshfeld partition):  0.8373786257E-02
User-defined real space function:  0.1000000000E+01
ESP from nuclear charges:  0.4252300554E+13
ESP from electrons: -0.4006708449E+02
Total ESP:  0.4252300554E+13 a.u. ( 0.1157110E+15 eV, 0.2668361E+16 kcal/mol)

Note: Below information are for electron density

Components of gradient in x/y/z are:
  0.0000000000E+00  0.0000000000E+00 -0.5684341886E-13
Norm of gradient is:  0.5684341886E-13

Components of Laplacian in x/y/z are:
-0.1005451567E+08 -0.1005451567E+08 -0.1005445237E+08
Total: -0.3016348371E+08

Hessian matrix:
-0.1005451567E+08  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00 -0.1005451567E+08  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00 -0.1005445237E+08
Eigenvalues of Hessian: -0.1005451567E+08 -0.1005451567E+08 -0.1005445237E+08
Eigenvectors (columns) of Hessian:
  0.1000000000E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00  0.1000000000E+01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1000000000E+01
Determinant of Hessian: -0.1016437623E+22
Ellipticity of electron density:    0.000000
eta index:   -1.000006

----------------   CP     3,     Type (3,-3)   ----------------
Corresponding nucleus:     3(H )
Position (Bohr):        0.000000000000    0.000000000000   -3.234994340655
Position (Angstrom):    0.000000000000    0.000000000000   -1.711885282475
Density of all electrons:  0.2859122208E+00
Density of Alpha electrons:  0.1429561104E+00
Density of Beta electrons:  0.1429561104E+00
Spin density of electrons:  0.0000000000E+00
Lagrangian kinetic energy G(r):  0.8353883105E-03
G(r) in X,Y,Z:  0.6587804754E-06  0.6587804754E-06  0.8340707496E-03
Hamiltonian kinetic energy K(r):  0.4847579042E+01
Potential energy density V(r): -0.4848414430E+01
Energy density E(r) or H(r): -0.4847579042E+01
Laplacian of electron density: -0.1938697462E+02
Electron localization function (ELF):  0.9999943697E+00
Localized orbital locator (LOL):  0.9976607239E+00
Local information entropy:  0.7946578434E-01
Interaction region indicator (IRI):  0.4796971281E-14
Reduced density gradient (RDG):  0.1000000000E+03
Reduced density gradient with promolecular approximation:  0.1000000000E+03
Sign(lambda2)*rho: -0.2859122208E+00
Sign(lambda2)*rho with promolecular approximation: -0.2859993625E+00
Corr. hole for alpha, ref.:   0.00000   0.00000   0.00000 : -0.1290014342E-03
Source function, ref.:   0.00000   0.00000   0.00000 :  0.4768992642E+00
Wavefunction value for orbital       1 :  0.3426754725E-01
Average local ionization energy (ALIE):  0.0000000000E+00
van der Waals potential (probe atom: C ):  0.2597035026E+44 kcal/mol
Delta-g (under promolecular approximation):  0.9860027808E-02
Delta-g (under Hirshfeld partition):  0.9183479148E-02
User-defined real space function:  0.1000000000E+01
ESP from nuclear charges:  0.8277097902E+03
ESP from electrons: -0.4355107030E+01
Total ESP:  0.8233546831E+03 a.u. ( 0.2240462E+05 eV, 0.5166633E+06 kcal/mol)

Note: Below information are for electron density

Components of gradient in x/y/z are:
  0.0000000000E+00  0.0000000000E+00  0.1210105150E-14
Norm of gradient is:  0.1210105150E-14

Components of Laplacian in x/y/z are:
-0.6464026617E+01 -0.6464026617E+01 -0.6458921380E+01
Total: -0.1938697462E+02

Hessian matrix:
-0.6464026617E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00 -0.6464026617E+01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00 -0.6458921380E+01
Eigenvalues of Hessian: -0.6464026617E+01 -0.6464026617E+01 -0.6458921380E+01
Eigenvectors (columns) of Hessian:
  0.1000000000E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00  0.1000000000E+01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1000000000E+01
Determinant of Hessian: -0.2698772465E+03
Ellipticity of electron density:    0.000000
eta index:   -1.000790

----------------   CP     4,     Type (3,-1)   ----------------
Connected atoms:     2(H )   --     1(Mg)
Position (Bohr):        0.000000000000    0.000000000000    1.799889972951
Position (Angstrom):    0.000000000000    0.000000000000    0.952460755818
Density of all electrons:  0.3242341335E-01
Density of Alpha electrons:  0.1621170668E-01
Density of Beta electrons:  0.1621170668E-01
Spin density of electrons:  0.0000000000E+00
Lagrangian kinetic energy G(r):  0.2860430907E-01
G(r) in X,Y,Z:  0.9576969559E-03  0.9576969559E-03  0.2668891516E-01
Hamiltonian kinetic energy K(r):  0.3044908266E-03
Potential energy density V(r): -0.2890879990E-01
Energy density E(r) or H(r): -0.3044908266E-03
Laplacian of electron density:  0.1131992730E+00
Electron localization function (ELF):  0.9864238361E-01
Localized orbital locator (LOL):  0.2486452000E+00
Local information entropy:  0.1405307581E-01
Interaction region indicator (IRI):  0.7538512331E-15
Reduced density gradient (RDG):  0.2711741471E-15
Reduced density gradient with promolecular approximation:  0.3237883853E+00
Sign(lambda2)*rho: -0.3242341335E-01
Sign(lambda2)*rho with promolecular approximation: -0.5989863012E-01
Corr. hole for alpha, ref.:   0.00000   0.00000   0.00000 : -0.1300761270E-05
Source function, ref.:   0.00000   0.00000   0.00000 : -0.5004812549E-02
Wavefunction value for orbital       1 : -0.4562646534E-02
Average local ionization energy (ALIE):  0.0000000000E+00
van der Waals potential (probe atom: C ):  0.3924939894E+07 kcal/mol
Delta-g (under promolecular approximation):  0.6766431210E-01
Delta-g (under Hirshfeld partition):  0.5972048373E-01
User-defined real space function:  0.1000000000E+01
ESP from nuclear charges:  0.7561868498E+01
ESP from electrons: -0.6577610941E+01
Total ESP:  0.9842575571E+00 a.u. ( 0.2678301E+02 eV, 0.6176315E+03 kcal/mol)

Note: Below information are for electron density

Components of gradient in x/y/z are:
  0.0000000000E+00  0.0000000000E+00  0.1734723476E-16
Norm of gradient is:  0.1734723476E-16

Components of Laplacian in x/y/z are:
-0.4221663186E-01 -0.4221663186E-01  0.1976325367E+00
Total:  0.1131992730E+00

Hessian matrix:
-0.4221663186E-01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00 -0.4221663186E-01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1976325367E+00
Eigenvalues of Hessian: -0.4221663186E-01 -0.4221663186E-01  0.1976325367E+00
Eigenvectors (columns) of Hessian:
  0.0000000000E+00  0.1000000000E+01  0.0000000000E+00
  0.1000000000E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1000000000E+01
Determinant of Hessian:  0.3522294039E-03
Ellipticity of electron density:    0.000000
eta index:    0.213612

----------------   CP     5,     Type (3,-1)   ----------------
Connected atoms:     1(Mg)   --     3(H )
Position (Bohr):        0.000000000000    0.000000000000   -1.799890864500
Position (Angstrom):    0.000000000000    0.000000000000   -0.952461227606
Density of all electrons:  0.3242329925E-01
Density of Alpha electrons:  0.1621164962E-01
Density of Beta electrons:  0.1621164962E-01
Spin density of electrons:  0.0000000000E+00
Lagrangian kinetic energy G(r):  0.2860407971E-01
G(r) in X,Y,Z:  0.9576886106E-03  0.9576886106E-03  0.2668870249E-01
Hamiltonian kinetic energy K(r):  0.3045388403E-03
Potential energy density V(r): -0.2890861855E-01
Energy density E(r) or H(r): -0.3045388403E-03
Laplacian of electron density:  0.1131981635E+00
Electron localization function (ELF):  0.9864276600E-01
Localized orbital locator (LOL):  0.2486456022E+00
Local information entropy:  0.1405303451E-01
Interaction region indicator (IRI):  0.9046249816E-15
Reduced density gradient (RDG):  0.3254105034E-15
Reduced density gradient with promolecular approximation:  0.3237890188E+00
Sign(lambda2)*rho: -0.3242329925E-01
Sign(lambda2)*rho with promolecular approximation: -0.5989838431E-01
Corr. hole for alpha, ref.:   0.00000   0.00000   0.00000 : -0.1300631321E-05
Source function, ref.:   0.00000   0.00000   0.00000 : -0.5004761017E-02
Wavefunction value for orbital       1 : -0.6578846457E-02
Average local ionization energy (ALIE):  0.0000000000E+00
van der Waals potential (probe atom: C ):  0.3924840712E+07 kcal/mol
Delta-g (under promolecular approximation):  0.6766387856E-01
Delta-g (under Hirshfeld partition):  0.5972015774E-01
User-defined real space function:  0.1000000000E+01
ESP from nuclear charges:  0.7561861147E+01
ESP from electrons: -0.6577605743E+01
Total ESP:  0.9842554040E+00 a.u. ( 0.2678295E+02 eV, 0.6176301E+03 kcal/mol)

Note: Below information are for electron density

Components of gradient in x/y/z are:
  0.0000000000E+00  0.0000000000E+00 -0.2081668171E-16
Norm of gradient is:  0.2081668171E-16

Components of Laplacian in x/y/z are:
-0.4221630767E-01 -0.4221630767E-01  0.1976307788E+00
Total:  0.1131981635E+00

Hessian matrix:
-0.4221630767E-01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00 -0.4221630767E-01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1976307788E+00
Eigenvalues of Hessian: -0.4221630767E-01 -0.4221630767E-01  0.1976307788E+00
Eigenvectors (columns) of Hessian:
  0.1000000000E+01  0.0000000000E+00  0.0000000000E+00
  0.0000000000E+00  0.1000000000E+01  0.0000000000E+00
  0.0000000000E+00  0.0000000000E+00  0.1000000000E+01
Determinant of Hessian:  0.3522208613E-03
Ellipticity of electron density:    0.000000
eta index:    0.213612