The Fokker-Planck equation with fast oscillated coefficients can be regarded as a gradient flow in a Wasserstein space with inhomogeneous dissipation and oscillated free energy. We will use an evolutionary Gamma convergence approach to obtain the homogenized dynamics, which preserves the gradient flow structure in a limiting homogenized Wasserstein space. The comparison between the gradient flow induced limiting Wasserstein distance and the direct Gromov-Hausdorff limiting Wasserstein distance will also be discussed.