Help With Big Love Outro Chords

[BlueGrass]

I have these chords listed but am having trouble figuring em out for the end strumming of Big Love...

fmaj7 - Em - Am - G6

I can't figure out the first and last chords...what is F major 7? And G6??

I am also trying to get the rigth way to play the end part. Lindsey plays it at supersonic speed and it is almost hard to tell when he switches up.

Can anyone shoot some tips over my way, I would love it.