If this persists, I would recommend you try one of the other versions of the mod.
There have been a few posts of the default A320 acting this way.
The stable version of the mod is only stable until the next MSFS upgrade/patch, after that it is a little bit iffy.
The other versions of the mod do not seem to be affected.
Here is a link to a post explaining the various types of the mod , with some links to them.
https://forums.flightsimulator.com/t/a320-nx-hand-flying-the-touch-and-go/347310/9?u=thesevenflyer