Family Violence Prevention and Services Improvement Act of 20 21 This bill modifies, expands, and reauthorizes through FY2026 the Family Violence and Prevention Services program, which funds emergency shelters and supports related assistance for victims of domestic violence. Specifically, the bill requires the Department of Health and Human Services (HHS) to award grants and enter cooperative agreements with state and tribal domestic violence coalitions, and community-based organizations, to support prevention services. Depending on the type of organization, grant recipients must use funding to (1) provide technical assistance; (2) promote evidence-informed prevention strategies; and (3) implement coordinated, community responses to reduce risk factors for family violence. Further, HHS must award specified grants to organizations that provide population-specific services in underserved communities and to community-based organizations that provide culturally specific domestic violence services to racial and ethnic minority groups. In addition, the bill modifies certain program-wide definitions and makes other technical revisions.