Any other expense incident to a proceeding in a criminal case which is payable out of the state treasury otherwise than under §§ 2.2-816, 19.2-330 or § 19.2-332 shall be certified by the court. If it be a judge of a district court exercising jurisdiction, it shall be certified by such judge to the Supreme Court. With the certificate of allowance there shall be transmitted to the Supreme Court the vouchers on which it is made. The court, in passing upon any account for fees or expenses required to be certified by it under this section, before certifying the account, may, in its discretion, require proof of the correctness of any item thereof. The entry of such certificate of allowance shall state how much thereof is on account of each person prosecuted.