We investigate the cosmological evolution of the Universe within the framework of f(R,L m ) gravity by adopting a hybrid expansion law capable of describing both decelerated and accelerated phases of cosmic expansion. The analysis is performed in a spatially flat FLRW spacetime, and the resulting dynamics are examined through key cosmological parameters, including the deceleration parameter and the equation of state parameter. Observational constraints from Hubble parameter measurements, Type Ia supernova data from DESY5, and their combination with baryon acoustic oscillation observations are used to estimate the model parameters via Bayesian analysis. The results indicate a smooth transition from deceleration to late-time acceleration consistent with current observations. The present Universe evolves along a quintessence-like trajectory, satisfying the null and dominant energy conditions while violating the strong energy condition at late times. Overall, the proposed f(R,L m ) gravity model provides a viable alternative to the standard ΔCDM scenario for explaining late-time cosmic acceleration.
Shaily et al. (Thu,) studied this question.