MFi (or "Made for iPod") is the Apple program hardware developers must join to be able to manufacture and brand products as being made for iOS devices.
The MFi program allows hardware manufactures to develop products that can be used on iOS products. Entry into the MFi program requires a strict application product, and can be submitted at https://developer.apple.com/programs/mfi/.
MFi tagged questions should be specific to MFi device connection or device development.