Yes, all EVGA power supplies support UPS backup devices.
In regards to this concern, the high voltage coming from a UPS backup device may damage the PSU.
1. EVGA power supplies that support active PFC, and the IC can sense the voltage of main capacitor.
-If the voltage is too high(over 380V), the PFC will be protected.
2. The main capacitor can stand higher voltage around 420V(more than the voltage comes from UPS)