  A cosmological model with a specific form of the Hubble parameter is
constructed in a flat homogeneous, and isotropic background in the framework of
$f(R, T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of
the stress-energy-momentum tensor. The proposed functional form of the Hubble
parameter is taken in such a way that it fulfills the successful bouncing
criteria to find the solution of the gravitational field equations provided the
Universe is free from initial singularity. The various constraints on the
parameters are involved in the functional form of the Hubble parameter which is
analyzed in detail. In addition, we explore physical and geometrical
consequences of the model based on the imposed constraints. Furthermore, we
demonstrate the bouncing scenario which are realized in our model with some
particular values of the model parameters. As a result, we find that all of the
necessary conditions are satisfied for a successful bouncing model.
