The medicaid director shall adopt rules under sections 5160.02, 5162.02, 5163.02, 5164.02, 5165.02, 5166.02, and 5167.02 of the Revised Code as necessary to authorize the directors of other state agencies to adopt rules regarding medicaid components, or aspects of medicaid components, the other state agencies administer pursuant to contracts entered into under section 5162.35 of the Revised Code.