  In this paper, a stable flat cosmological model has been constructed and the
evolution of dark energy has been investigated in the framework of the recently
suggested $\kappa(R,T)$ gravity. The empirical approach we adopt in the current
work reveals some interesting cosmological features consistent with
observations and the standard $\Lambda$CDM model. The evolution of cosmic
pressure shows a positive-to-negative transition corresponding to the cosmic
deceleration-acceleration transition, both the deceleration parameter and the
cosmic pressure have the positive-to-negative sign flipping. While this
behavior can provide explanation for the deceleration-acceleration transition,
the reason behind this positive-negative transition itself is still missing.
