Midi CC not recorded using Quick controls

You have to open Arturia MIDI Control Center. There you’ll find under settings, an option to have your transport buttons, set to DAW instead of USER mode. So, even when you’ll be in USER mode, these buttons will still behave correctly.

I see that you have the “full” version chosen. I don’t know how your MIDI Ports are named. Could you please post your Studio→Studio Setup→MIDI Ports screenshot?
By the way, it’s better in my opinion to continue this discussion in the dedicated thread: