For the sake of completion, here is the order of the manamon the person asks for on the mutmo quest. Why you can't just get this all in one list is something of a mystery to me but there it is. I think this might be listed in a post much, much earlier in the thread, but here it is again for anyone looking to complete their manapedia or to try something new.
Spoilers or something
This will hopefully save some people a little bit of running back and forth storing and retrieving manamon just to get what they need.
murkit, lavalan, zintrabat, feefeye, jiminar, embird, autoson, drabao, erroir, pandourbit
Again, for the sake of less running around to store and retrieve manamon, you'll want the mutmo with you, plus 2 free slots. breed the mutmo twice. You should have three now. Use a smoke element on one, a star element on one, and a soulless heartstone on the last one you have left. The order in which you use the transformation items here doesn't matter. That's how you turn one caught manamon into four.