  It has been pointed out that matter bounce cosmology driven by a k-essence
field cannot satisfy simultaneously the observational bounds on the
tensor-to-scalar ratio and non-Gaussianity of the curvature perturbation. In
this paper, we show that this is not the case in more general scalar-tensor
theories. To do so, we evaluate the power spectra and the bispectra of scalar
and tensor perturbations on a general contracting background in the Horndeski
theory. We then discuss how one can discriminate contracting models from
inflation based on non-Gaussian signatures of tensor perturbations.
