Bouncing cosmology in an extended theory of gravity

We have investigated some bouncing models in the framework of an extended gravity theory where the usual Ricci scalar in the gravitational action is replaced by the sum of the Ricci scalar and a term proportional to the trace of the energy momentum tensor. The dynamical parameters of the models are derived in a most general manner. We considered two bouncing scenarios described by an exponential and a power law scale factors. The non-singular bouncing models also favour a late time cosmic speed up phenomenon. The dynamical behaviour of the equation of state parameter is studied for the models. It is observed that, near the bounce, the dynamics is substantially affected by the coupling parameter of the modified gravity theory and is least affected by the parameter of the bouncing scale factors.