From what I have heard from others I know, Game Guardian just flips out with Xposed on an Android 11.
They attempted using scripts, but it didn't work. Some apps that had previously worked with Xpose on Android 10 were refusing to work all of a sudden.
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I have 3 theories.
1) Game Guardian needs an update to allow Android 11 to function with Xposed (Sorta doubting this one)
2) Virtual Xposed itself needs an update for Android 11. If you look at its description, it says the highest Android version it functions with is an Android 10. So perhaps this isn't Game Guardian's fault? Maybe you must wait until Virtual Xposed itself has an update to allow Android 11 users to access it without error.
3) Android 11 may have some sort of new privacy protection update. This could be disabling Virtual Xposed, Game Guardian, or both.
Hope I helped you somewhat.