In this paper, we attempt to study spatially homogeneous Bianchi types-III, V, VI 0 & VI h cosmological models in f (R, T) theory of gravity. Here the models are obtained by assuming forms of the function f (R, T) as f (R, T) = R + 2 f (T) and f (R, T) = f 1 (R) + f 2 (T). The exact solutions of Einstein's field equations (EFEs) have been obtained for two different types of physically viable cosmologies using a special form of Hubble parameter (HP). The physical and geometrical properties of these models have been discussed and expressions for the Ricci scalar R in each case are obtained.