Black holes are considered as one of the most puzzling objects of modern-day cosmology. Devoid of concrete knowledge beyond event horizon, make them rigid enough not to be soaked by many models and approaches. However, our imagination is inclined towards them to a large extent. Dark energy, being an accepted reason for the accelerated expanding universe, can be an active factor for many phenomena of the cosmic history. We, here, assumed an interaction of the dark energy and matter content of the universe and in that environment, we have gone through different cosmological parameters. Further, we have looked into accretion and evaporation of the black holes, which account for their evolution. The formation of black holes are restricted by many observational phenomena like the present matter density of the universe, present photon spectrum, distortion in CMB spectrum and nucleosynthesis constraints. Within the framework of the interacting dark sector, we evaluated these constraints and found that they are more flexible than standard cosmology and Brans-Dicke theory counterparts.