We present in this note the framework of the DEEPGen event generator, initially developed to study deeply exclusive electro- and photo-production of lepton pairs. The main purpose of this event generator is to perform impact studies and predictions for reactions accessing Generalized Parton Distributions. We provide in this version the following reactions: Double Deeply Virtual Compton Scattering + Bethe-Heitler,
Timelike Compton Scattering + Bethe-Heitler and Deeply Virtual Compton Scattering + Bethe-Heitler. Generated events contain various unpolarized and polarized weighting options, and several cross section decompositions into sub-processes. Various beam and target options allow for realistic predictions in the context of experiments at the Jefferson Laboratory.