Why the heck does it not tell me WHO gifted me the item? It's literally not there.
So you can't tell who actually gave you what.
I have a mule and I play Monster Galaxy on both accounts. Sometimes you do receive xp for any of your mogas that's been summoned in a friend's battle if that friend bothers to thank you after they win the battle. But only SOMETIMES. As for gifts, no, they are not there.