  In this work, we propose different models of extended theories of gravity,
which are minimally coupled to the SM fields, to explain the possibility of a
dark matter (DM) candidate, without ad-hoc additions to the Standard Model
(SM). We modify the gravity sector by allowing quantum corrections motivated
from local $f(R)$ gravity, and non-minimally coupled gravity with SM sector and
dilaton field. Using an effective field theory (EFT) framework, we constrain
the scale of the EFT and DM mass. We consider two cases-Light DM (LDM) and
Heavy DM (HDM), and deduce upper bounds on the DM annihilation cross section to
SM particles.
