Federal Financial Participation (FFP) for state and local training is authorized by the Code of Federal Regulations (CFR) 45 CFR, CH 11, S.235:60-65, which describes definitions, state plan requirements, conditions for FFP, FFP rates, and activities and costs matchable as training expenditures. 

Further definition is found in 45 CFR, CH XIII, S.1356.60(B) and various Administration on Children, Youth, and Families, a division of the Department of Health and Human Services (ACYF) policies such as ACYF-PA-90-01, and ACYF-PIQ 82-17.

Links:

• Social Security Administration Title IV – Grants to States for Aid and Services to Needy Families With Children and for Child Welfare Services
• Administration on Children, Youth, and Families, a division of the Department of Health and Human Services (ACYF)