I'm totally not an expert by any means with coral, but that looks a lot like ones I have in my tank that internet searches seem to call "Cup Coral" The ones I have a clear with little white spots in their tentacles that the research I have done is called specifically a "hidden cup coral", but yours has way more color than mine.
I always target feed them and they eat, a lot of them are right out of the light (some of them under rocks with only their tentacles getting out in the light) and they seem perfectly fine. I've had many of them for about six or so years, came in on live rock from Florida.
Sorry if it doesn't help any.