Wasn't quite sure if this is a iTunes, Podcast app, Music App, iPhone5 , iOS, or OS X issue, but they are all Apple products, so I will start here.
The podcasts that I have on my iTunes on my Mac are not showing up on my iPhone 5 after what appears to be a successfuly sync in iTunes. The music is syncing up successfully, but not my podcasts. They are not showing in my podcast app. Also my Playlists are transferring over into the music app, but the playlists that have podcasts, are empty.