Better Care Better Jobs Act This bill establishes programs and provides funds for state Medicaid programs to improve home- and community-based services (HCBS), such as home health care, personal care, case management, and rehabilitative services. Specifically, the bill provides funds for the Centers for Medicare & Medicaid Services to award planning grants, develop quality measures, and provide technical assistance to states regarding specified HCBS improvements, particularly with respect to access, utilization, and the associated workforce. The bill also increases the Federal Medical Assistance Percentage (i.e., federal matching rate) for HCBS in states that develop plans and meet specified benchmarks for improvements. The bill also makes permanent (1) the Money Follows the Person Rebalancing Demonstration Program (a grant program to help states increase the use of HCBS for long-term care and decrease the use of institutional care), and (2) certain provisions regarding Medicaid eligibility that protect against spousal impoverishment for recipients of HCBS.