Support our Services to Veterans Caregivers Act or the S.O.S. Veterans Caregivers Act This bill includes a veteran who has a serious illness or injury (currently, a serious injury) incurred or aggravated in the line of active duty on or after September 11, 2001, as an "eligible veteran" for purposes of the Department of Veterans Affairs (VA) program of comprehensive assistance for family caregivers of eligible veterans. As part of such program, the VA shall give each caregiver designated as the primary provider of personal care services for an eligible veteran, not less than annually, a multidimensional assessment to measure the burden and strain the caregiver has felt. The VA's annual report on such program shall include a description of the satisfaction experienced by caregivers and veterans with such program.