Abstract : This article is devoted to study the solution of field equations of ????(????,????) = ???? + ???????? gravity under the scale factor of the form ????(????) = ???????????? (????−????????) ???????? with ???? and ???? for FRW metric. It is considered that, universe is filled with an exotic fluid of the form ???? = ???????? − ???? ???????? , known as modified Chaplygin gas. Here the derived model is close to ????CDM model under the limiting case of ???? − ???????? → ∞ and ???? ∈ ℕ +