After loading up in the A321LR (at Luton, and just the default Luton, no add-on) I can get the aircraft set-up and ready for pushback and engine start. But when I press "toggle pushback" in the EFB, the pushback tug comes to the aircraft but then just sits there, even if I press "AFT", "LEFT" or "RIGHT). I also can't start the engines even if I put the engine mode selector to IGN/START and press one of the engine switches to ON. I haven't tried any of the A330 variants yet. I should also note that I've already done the throttle calibration in the EFB.
I am using the Thrustmaster A320 throttle quadrant with the connected flaps and spoiler attachments and the Airbus sidestick. The buttons seem to work in MSFS2024 as they do in the 2020 version, and the parking brake goes off if I set it to off without any issue.