  We calculate the most general action for a scalar-tensor model up to
quadratic order in derivatives with deformed general covariance and non-minimal
coupling. We demonstrate how different choices of the free functions recover
specific well known scalar-tensor models. We look at the cosmological dynamics
and find the general conditions for either inflation or a big bounce. Using
this we present a novel non-minimally coupled scalar model which produces a
bounce, and describe how to find similar models.
