  In this paper, we have presented the big rip and pseudo rip cosmological
models in an extended theory of gravity. The matter field is considered to be
that of perfect fluid. The geometrical parameters are adjusted in such a manner
that it matches the prescriptions given by cosmological observations, to be
specific to the range of Hubble tension $(H_{0})$. The models favor phantom
behavior. The violation of strong energy conditions are shown in both the
models, as it has become essential in an extended gravity. The representative
values of the coupling parameter are significant on the evolution of the
universe.
