looks like green frilly mushrooms to me. lol! I can't identify mushrooms very well, but I can tell yah how to frag...
Cut them off at the base with a razor , then slit them in two parts, through the middle. Be sure to get part of the mouth. Then, lay the pieces in a small container of crushed coral, so the base attaches to it in a couple weeks. then, you can super glue gel it to a rock. If you directly super glue gel the mushroom to a rock, it will burn the coral and probably kill it.