Wounded Warrior Research Enhancement Act This bill requires the Department of Defense, in coordination with the Department of Veterans Affairs, to award grants to advance orthotic and prosthetic care for members of the Armed Forces, veterans, and civilians who have undergone amputation, traumatic brain injury, and other serious injuries resulting from combat or military experience. The grants must fund research on (1) outcomes for such patients, (2) materials used in orthotics and prosthetics, and (3) improving existing orthotic and prosthetic technology and the development of new technology.