  We investigate the bounce realization in the framework of generalized
modified gravities arising from Finsler and Finsler-like geometries. In
particular, the richer intrinsic geometrical structure is reflected in the
appearance of extra degrees of freedom in the Friedmann equations that can
drive the bounce. We examine various Finsler and Finsler-like constructions. In
the cases of general very special relativity as well as of Finsler-like gravity
on the tangent bundle we show that a bounce cannot be easily obtained. However,
in the Finsler-Randers space the induced scalar anisotropy can fulfill the
bounce conditions and bouncing solutions are easily obtained. Finally, for the
general class of theories that include a nonlinear connection a new scalar
field is induced, leading to a scalar-tensor structure that can easily drive a
bounce. These features reveal the capabilities of Finsler and Finsler-like
geometries.
