Hey there, @spreng.
By default, songs, albums, stations, and playlists in Offline Mode are sorted by most recently downloaded. Artists, however, are sorted from A-Z.
To view only downloads, tap the row just under the Recently Played carousel, and a menu will drop down that will allow you to filter your collection. Toggle the switch to Show Only Downloads to view only content that is stored on your device.
You should be able to shuffle your download songs and songs within a playlist.
You also may find this article about Offline Listening to be helpful.
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