HCBS Relief Act of 2023 This bill temporarily increases the applicable Federal Medical Assistance Percentage (i.e., federal matching rate) under Medicaid for certain approved home- and community-based services that are provided during FY2024-FY2025. As a condition for receiving the increased rate, a state must agree to undertake activities to improve the delivery of such services, such as by providing additional benefits to home health workers and by helping individuals who were relocated to nursing facilities move back to their homes.