Whenever an appropriation is made to or for the use of any State officer, office, department, division, institution, commission, board or other agency and his or its functions are transferred to a successor, the appropriation or any unobligated part thereof shall be deemed to have been made to such successor to the same extent as if such successor were specifically named in the appropriation law. A change in the name or title of any of the above shall be deemed a transfer of functions to a successor.
30 ILCS 105/9b