We describe the second version (v2.0.0) of code ADG that automatically (1) generates all valid off-diagonal Bogoliubov many-body perturbation theory diagrams at play in particle-number projected (PNP-BMBPT) and (2) evaluates their algebraic expression to be implemented for numerical applications. This is achieved any perturbative order p a Hamiltonian containing both two-body (four-legs) three-...