Those are mesenterial filaments. Corals will extend them to increase their digestive surface area to feed. They are also used as a defense against other corals, as they will extend them to sting and fend off or to ingest the other coral to make space to grow.
In your case it's clearly a reaction to the food (several of my corals do it all the time), but its debatable if they are actually trying to feed or if they sense something in the food as an irritant or threat and may be responding defensively.
I tend to side on it being more a feeding response.