We both have added each other as troopers so don't use my trooper (as I didn't use your Wrath during today's LOL X missions) or any one else's during the LOL X missions. I'm not sure this is a bug and rather it might be intentional as the rewards are 20x rare soul fragments and 5x legendary soul fragments. So I think you're meant to have a pretty strong team to complete these missions using only your characters. It would be nice if they were more clear about this though if thats the case.
As for acronyms they are GRE= Grim Reaper Eddie. MCR=Magus Corrupt Rescuer. NBOL=Newborn of Light GS=Golden Son. PDK=Pharaoh Dog King. SoL=Speed of Light. Hope this clears it up. I still struggle with some acronyms, particularly the toons I don't have.