New iPad playlist not showing up in iTunes

I'm running iTunes 12.3 on my Macbook pro (el capitan) and iOS 9.0.2 on my iPad air. I created a new playlist on my iPad and after connecting to iTunes my new playlist does not show up under music/playlist/my device? The playlists under my device are identical to the playlists under iTunes. I'm trying to export the new playlist from iPad to iTunes, so I can then import the playlist to my iPhone 6 (ios9.0.2). Not sure why this is happening? Or if someone knows how to transfer the new iPad playlist to my iPhone, that is my goal? Thanks.