Maybe test it then, it’s a quick check for you but so important to know. If that happens only with specific scenery or with only with the FBW mod, this issue is rather for the 3rd party category.
So try it with vanilla airports and/or unmodded A320neo to rule out the mods/addons to be the reason for your issues.
What you can try as well is to taxi somewhere else on the airport and press Left Shift + P for pushback and see if the pushback without a pusback truck works.
Same issue with PBE for me, happens more often than not. I feel that when you wait another 30 secs after the tug ‘connects’ it will push back all the way.
Since I tried to upgrade mfs2020 with “Enhanced Ground Vehicles” from the flightsim.to website, I don’t have any ground vehicles anymore, so i have no longer groundservices. Does anyone know how to fix this?