Whenever any civil suit is or has been prosecuted by the state and for the state's own benefit, the clerks, sheriffs, and other officers shall be entitled to the same fees as in other civil cases between private persons. Whenever the state becomes liable to pay any such costs, it shall be the duty of the Auditor of State upon presentation of the certificate of the Attorney General that the costs have accrued and that the state is liable therefor and the amount claimed is just, to draw his or her warrant on the Treasurer of State for the amount so certified to be due, which shall be paid by the Treasurer of State.