https://en.wikipedia.org/wiki/GAU-8_Avenger

The A-10 engines were initially susceptible to flameout when subjected to gases generated in the firing of the gun. When the GAU-8 is being fired, the smoke from the gun can make the engines stop, and this did occur during initial flight testing.[2] Gun exhaust is essentially oxygen-free, and is certainly capable of causing flame-outs of gas turbines. The A-10 engines now have a self-sustaining combustion section. When the gun is fired the igniters come on to reduce the possibility of a flame-out.[15]

The average recoil force of the GAU-8/A is 10,000 pounds-force (45 kN),[3][16] which is slightly more than the output of one of the A-10's two TF34 engines (9,065 lbf / 40.3 kN each).[17] While this recoil force is significant, in practice a cannon fire burst only slows the aircraft a few miles per hour in level flight.[15]