  In this work, one examines how the presence of a non-minimal coupling between
the spacetime curvature and matter affects the evolution of cosmological
perturbations around a homogeneous and isotropic Universe and hence the
formation of large-scale structure. This framework places constraints on the
terms which arise due to the coupling with matter and, in particular, on the
modification in the growth of matter density perturbations. One obtains
approximate analytical solutions for the evolution of matter overdensities
during the matter dominated era and shows that these favor the presence of a
coupling function that is compatible with the late-time cosmic acceleration.
