I’ve had some queries about using Corona Project Manager to make games with Moai SDK and while CPM was designed with Corona SDK in mind, it works pretty well with Moai in the driver’s seat.
Link: Using CPM with Moai SDK
That link will take you to a page on the CPM site that includes a 5-minute video showing how to get the two working well together. You can also download CPM from that site (and even the free version works with Moai SDK).
Corona SDK is still the fastest way to get a mobile game up and running, but there are reasons why you might want to use Moai SDK (not suggested for beginners). Either way, you can use CPM to help make your development faster and easier.