Behavior of the mixture of particles and dimers moving with different jump rates at reconstructed surfaces is described. Collective diffusion coefficient is calculated by the variational approach. Anisotropy of the collective particle motion is analyzed as a function of jump rates and local particle density. Analytic expressions are compared with the results of Monte Carlo simulations of diffusing particle and dimer mixture. Direction of driven diffusive motion of the same system depends on the jump anisotropy and on the value of driving force. Driven motion results in the particle and dimer separation when the directions of their easy diffusion axes differ. It is shown that in such case trapping sites concentrated at some surface areas act as filters or barriers for particle and dimer mixtures.