Care for the Veteran Caregiver Act This bill updates the Program of Comprehensive Assistance for Family Caregivers of the Department of Veterans Affairs (VA), including by requiring the VA to continue to provide assistance to a family caregiver for at least six months after the death of a veteran participating in the program. Additionally, the bill requires the VA to establish a process by which veterans who are determined to have the most significant need for caregiver assistance are permanently eligible for such assistance. The bill requires the VA to standardize the criteria used across all facilities in its required evaluations of the needs of the veterans and the skills of the family caregiver. The VA must also standardize criteria used in accepting and evaluating applications for participation in the program across all facilities.