  In this paper, we construct a class of charged and regular black hole
solutions in Verlinde's Emergent Gravity (VEG). In particular, these solutions
include, black holes with asymptotically Minkowski core, T-duality,
Frolov/Simpson-Visser type solutions, as well as the Bardeen/Hayward type
solutions as a special case. Using the relation between the apparent dark
matter and the baryonic matter we find the effect of apparent dark matter on
the spacetime geometry. We show that in general, the apparent dark matter leads
to non-asymptotically flat spacetime geometry and, in the special limit of a
point like mass distribution, all the black hole solutions in VEG resembles the
global monopole-like solution with a deficit angle. To this end, we extend the
solutions by including the cosmological constant (de Sitter space) and we
elaborate different energy conditions of black hole solutions. Finally, having
in mind that the Einstein's field equation are not modified in this theory
while the apparent dark matter is encoded in the energy-momentum tensor, we
used the modified Newman--Janis-Azreg-A\"inou algorithm to obtain the
corresponding effective rotating metrics.
