  Spherically symmetric solution in 4D Einstein--Gauss--Bonnet gravity coupled
to modified logarithmic nonlinear electrodynamics (ModLogNED) is found. This
solution at infinity possesses the charged black hole Reissner--Nordstr\"{o}m
behavior. We study the black hole thermodynamics, entropy, shadow, energy
emission rate and quasinormal modes. It was shown that black holes can possess
the phase transitions and at some range of event horizon radii black holes are
stable. The entropy has the logarithmic correction to the area law. The shadow
radii were calculated for variety of parameters. We found that there is a peak
of the black hole energy emission rate. The real and imaginary parts of the
quasinormal modes frequencies were calculated. The energy conditions of
ModLogNED are investigated.
