The district attorneys throughout the state whose salaries in lieu of fees have not been fixed by law shall be entitled to receive, in addition to their salaries as allowed by the constitution, the following fees: Five dollars for each conviction on which the accused is finally sentenced only to pay a fine; ten dollars for each conviction on which the accused is finally sentenced to imprisonment in jail; fifteen dollars for each conviction on which the accused is finally sentenced to imprisonment in the penitentiary for a term shorter than life; twenty dollars for each conviction on which the accused is finally sentenced to imprisonment in the penitentiary for life; and twenty-five dollars for each conviction on which the accused is finally sentenced to death.  He shall receive only one fee for each defendant convicted regardless of the number of convictions against the same defendant where the sentences imposed by the court are to run concurrently, and shall not be paid his fee until the sentence has become final on appeal or otherwise.  In districts composed of more than one parish, fees herein provided for shall be paid by the parish in which the conviction takes place and the governing authority of each parish shall annually, and at the time they prepare their general budget of expenses, budget an amount sufficient to pay the fees as herein fixed.