N.Y. Comp. Codes R. & Regs. tit. 18, § 628.1
(b) Expenditures made by social services districts for adoption assistance and for the care and protection of children shall be subject to reimbursement by the State in accordance with the provisions of title IV-E of the Social Security Act and section 153 of the Social Services Law when authorized pursuant to this Part; or the provisions of title IV-A of such act and section 153 of the Social Services Law if such expenditures are not eligible for reimbursement pursuant to title IV-E of such act but are eligible for reimbursement under title IV-A of such act; or the provisions of sections 153 and 456 of the Social Services Law if such expenditures are not reimbursable pursuant to title IV-A or title IV-E of the Social Security Act. When Federal participation is available for child care services, Federal participation must be claimed in a manner that results in the maximum amount of Federal participation or must be claimed in accordance with department instructions or directions, including but not limited to the following claiming principles: