Tested with Minecraft 1.7.2, Forge 10.12.0.1024, MCA 4.0.1 and RadixCore 1.0.0

Repro steps:

1. Do standard progression up to the point where you have an MCA villager that can perform the cooking chore at will.
2. Place a Furnace next to this villager.
3. Give this villager some reasonably high amount of fuel.
4. Tell the villager to start cooking. Nothing should happen yet (as expected).
5. Place a single cookable food item into the villager's inventory.
6. When the furnace lights up, remove the cookable food item from the villager's inventory and place it back into your own.

Expected: villager does not receive the cooked version of the food.
Actual: villager does receive the cooked version of the food.

The last two steps can be repeated as many times as desired to gain additional cooked food by only expending fuel resources (no need to expend fuel resources, see first comment).

This also applies to fuel: you can remove the fuel from the villager's inventory before it is completely consumed, and food can still be produced.