Notwithstanding the other provisions of this article, there shall be deducted from the moneys appropriated to each county under this article a sum equal to the state and county shares of the public assistance grant that would otherwise be payable each month for each person transferred by the department to the Department of Rehabilitation for vocational rehabilitation pursuant to an agreement under Section 10652. In the case of a member or members of a family unit receiving aid to families with dependent children, the sum to be deducted and transferred shall be equal to the state and county shares of the public assistance grant on behalf of the family. Such sum shall be transferred in the Budget Act to the Department of Rehabilitation and used to provide vocational rehabilitation services for such persons as provided in Section 10652.