If the Director is unable to accommodate in a state correctional facility any convicted felon sentenced to the Department for a felony committed before January 1, 1995, whose sentence totals more than two years or who is convicted of a felony committed on or after January 1, 1995, and who is required to serve a total period of one year or more in a state correctional facility, the Department of Corrections shall compensate local jails for the cost of incarceration as provided for in the general appropriation act beginning on the sixty-first day following the date of mailing by certified letter or electronic transmittal by the clerk of the committing court to the Director of the final order.