In every state case of a less grade than a felony in which an appeal is taken to the Criminal Court of Appeals, and the judgment of the court below is affirmed against the defendant, all fees due the clerk of said court in said case shall be adjudged against the defendant and his sureties on his recognizance, for which execution shall issue as in other cases of appeal to the Criminal Court of Appeals. Should such case be reversed by the Criminal Court of Appeals and a new trial be had in the court below and the defendant convicted, then the costs aforesaid in favor of the Clerk of the Criminal Court of Appeals shall be taxed by the court below against the defendant, and a certified copy of said bill of costs by the Clerk of the Criminal Court of Appeals, filed in the court below, shall be sufficient to require said costs to be taxed and collected as other costs against the defendant in the court below.