Child Care Protection Improvement Act of 2020 This bill establishes an interagency task force, chaired by the Administration for Children and Families, to support states in conducting required criminal background checks for childcare staff members. Specifically, the task force must consult with relevant state agencies and develop recommendations and best practices. This includes evaluating how agencies are responding to interstate requests for information about staff, or prospective staff, who have lived in another state within the preceding five years. The task force must submit a final report with its recommendations within one year of the first meeting of the task force.