We derive a non Markovian master equation for electronic transport including the interaction with external bosonic degrees of freedom. Within this formalism we calculate the time dependent current (TDC) at different temperatures. Results for the TDC are shown for different values of the coupling to the bosonic environment and we found significant changes in the short-time dynamics. The electronic parameters of the model are calculated via a combination of molecular dynamics simulations with a density functional-based approach including dispersion energy corrections.