  Some bouncing models are investigated in the framework of an extended theory
of gravity. The extended gravity model is a simple extension of the General
Relativity where an additional matter geometry coupling is introduced to
account for the late time cosmic speed up phenomena. The dynamics of the models
are discussed in the background of a flat FRW universe. Some viable models are
reconstructed for specifically assumed bouncing scale factors. The behavior of
the models are found to be decided mostly by the parameters of the respective
models. The extended gravity based minimal matter-geometry coupling parameter
has a role to remove the omega singularity occurring at the bouncing epoch. It
is noted that the constructed models violate the energy conditions, however, in
some cases this violation leads to the evolution of the models in phantom
phase. The stability of the models are analyzed under linear homogeneous
perturbations and it is found that, near the bounce, the models show
instability but the perturbations decay out smoothly to provide stable models
at late times.
