In this chapter, we study a spatially homogeneous and anisotropic Bianchi type-I universe filled with perfect fluid within the framework of f(R, T) theory of gravity for the functional form \(f(R,T)=f_{1} (R)+f_{2} (T)\) . We presume \(f_{1}(R)=R\) and \(f_{2} (T)=\lambda T\) , where \(\lambda \) is a constant and obtain exact solution of the gravitational field equations by using a special law for the Hubble parameter H. The evolution of relevant cosmological parameters and the physical behaviour of the model are investigated. We also obtain the statefinder diagnostic pair and check the validity of the energy conditions. We find our results to be consistent with present observational data.