  In this article we introduce and characterize a pseudo generalized
Ricci-recurrent spacetimes. At first, we produce an example to justify the
existence of such a spacetime. Then, it is provided that a pseudo generalized
Ricci-recurrent generalized Robertson-Walker spacetime represents a perfect
fluid spacetime and a pseudo generalized Ricci-recurrent perfect fluid
spacetime represents either a dark energy epoch of the Universe or, the
velocity vector field is parallel, conservative, acceleration-free,
vorticity-free, and shear-free and becomes a static spacetime. Lastly, we study
the impact of this spacetime under $f(\mathcal{R})$ gravity scenario and deduce
several energy conditions.
