The EVGA will perform better. For two identical GPUs (same GPU chip, same quantity of VRAM), all that matters for determining the relative performance between them are the clock speeds (the core clock and the memory clock). In this case, because of the higher clocks on the EVGA, at stock it will perform better than the ASUS. When both are overclocked further, that could change, if the ASUS can be overclocked higher (but as always overclocking is a gamble - there's no guarantee how well a chip will overclock, that's the problem with the silicon lottery).
I still recommend the EVGA, especially with the $20 price difference (presuming you're buying it in the US).