  Recently, corrections of the $L(R)$ type to Einstein-Hilbert action that
become important at small curvature are proposed. Those type of models intend
to explain the observed cosmic acceleration without dark energy. We derive the
full Modified Friedmann equation in the Palatini formulation of those modified
gravity model of the $L(R)$ type. Then, we discuss various cosmological
predictions of the Modified Friedmann equation.
