Moai is open source, and designed for pro game developers. It needs more work on documentation but if you are experienced you can generally find your way around it, and the forums are good at responding quickly.
Corona is aimed at beginners and is a closed source product. If you are a beginner, you are better off sticking with Corona or GameSalad. Bungie is using Moai. You don't see big studios using a closed source solution like Corona, mostly beginners and indie devs.
