In fact, not only is the FAC reset not included in the computer reset QRH table, the table also says (in a big red box) - WARNING DO NOT RESET MORE THAN ONE COMPUTER AT A TIME.
As usual in most accidents, nothing is quite so simple.
1) The reset table in the QRH isn't limiting. The table only provides information about which computers are most prone to be reset. It does not mean other computers cannot be reset. The FAC is not listed among computers which are not allowed to be reset, and the caution against pulling certain CBs also do not list the FAC CBs.
2) The Captain did not reset both FACs at once. In fact he did them sequentially. FAC 1 was pulled at 2316:29 UTC and was re-energized by 2316:39. FAC 2 CB was only pulled seven seconds later, at 2316:46.
Unfortunately, even though FAC 1 had been re-energized, it was still inactive. Resetting the CB was not sufficient to reactivate the FAC, since the FAC's
overhead pushbutton must also be toggled to OFF and then back to ON.
So even though the Captain had restored power to FAC 1, and its pushbutton was at the "ON" position, FAC 1 remained unavailable. When FAC 2 CB was pulled, the aircraft went into Alternate Law.