Response to Rhia's spoiler.
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Oh, I didn't know some items permantly raised LUK. I assume it's those food items which have LUK in their bonus effect? (Seeing as how I can't read Japanese >_>) However, some battlefields it's impossible for Yggdra to get MVP, the two battlefields filled with nothing but undines comes to mind, Battlefield 05 and 07 I believe.
I'll play through again and see if I can get Yggdra's LUK high enough in order to get the white/black rose. Also, what actually determines who gets the MVP Bonus? From what I've experienced, it's whoever falls the most units. Could someone clarify that?
One last thing. Has anyone figured out how to get the OVERKILL thing?