This work is based on Generalized Ghost Pilgrim Dark Energy (GGPDE) in General Relativity (GR) in the framework of Bianchi type V I 0 space-time. To obtain exact solutions of the field equations, we have used simple parametrization of average scale factor a (t) = exp {(αt + β)p } as proposed by Mishra and Dua (Astrophys. Space Sci. ( 2021) 366:6). We have investigated the non-interacting and interacting GGPDE and dark matter (DM). Some well-known parameters like Hubble parameter, equation of state (EOS) parameter, deceleration parameter, etc are constructed for both the models. It is found that deceleration parameter indicates accelerated phase while EOS parameter represents a cosmological constant for both the models. The stability analysis and energy conditions for both the non-interacting and interacting models are investigated.