This installation of Koel integrates with Last.fm. It appears that you have connected your Last.fm account as well – Perfect! It appears that you haven’t connected to your Last.fm account though.
Connecting Koel and your Last.fm account enables such exciting features as scrobbling.
This installation of Koel has no Last.fm integration. Visit Koel’s Wiki for a quick how-to. Try politely asking an administrator to enable it.