Ohio Rev. Code § 5162.363
The department of medicaid shall enter into an interagency agreement with the department of education and workforce under section 5162.35 of the Revised Code that provides for the department of education and workforce to administer the medicaid school component of the medicaid program other than the aspects of the component that sections 5162.36 to 5162.366 of the Revised Code require the department of medicaid to administer. The interagency agreement may include a provision that provides for the department of education and workforce to pay to the department of medicaid the nonfederal share of a portion of the administrative expenses the department of medicaid incurs in administering the aspects of the component that the department of medicaid administers.
To the extent authorized by rules authorized by section 5162.021 of the Revised Code, the department of education and workforce shall adopt rules establishing a process by which qualified medicaid school providers participating in the medicaid school component pay to the department of education and workforce the nonfederal share of the department's expenses incurred in administering the component. The rules shall be adopted in accordance with Chapter 119. of the Revised Code.
R.C. § 5162.363