The　main　objective　of　this　paper　is　to　study　the　long-time　behavior　of　solutions　for　the　three　dimensional　non-autonomous　Navier-Stokes　equations　with　nonlinear　damping　for　r　＞　4:　Inspired　by　the　the　methods　of　l-trajectories　in　[27],　we　will　prove　the　existence　of　a　finite　dimensional　pullback　attractor　and　a　pullback　exponential　attractor,　which　gives　another　way　of　considering　the　long-time　behavior　of　the　non-autonomous　evolutionary　equations.