  In recent years, Rastall gravity is undergoing a considerable surge in
popularity. This theory purports to be a modified gravity theory with a
non-conserved energy-momentum tensor ({\rm EMT}) and an unusual non-minimal
coupling between matter and geometry. The present work looks for the evolution
of homogeneous spherical perturbations within the Universe in the context of
Rastall gravity. Using the spherical Top-Hat collapse model we seek for exact
solutions in linear regime for density contrast of dark matter (\rm DM) and
dark energy ({\rm DE}). We find that the Rastall parameter affects crucially
the dynamics of density contrasts for {\rm DM} and {\rm DE} and the fate of
spherical collapse is different in comparison to the case of general relativity
({\rm GR}). Numerical solutions for perturbation equations in non-linear regime
reveal that {\rm DE} perturbations could amplify the rate of growth of {\rm DM}
perturbations depending on the values of Rastall parameter.
