Your comments

The tweaker tries to maintain the order of the items, but it's not always successful. One of the limitation is that store apps aren't supported. I don't recognize all of the apps on your taskbar, but I think the Outlook app and the phone app are store apps, right? Does the issue happen if you close them?

See also my comment here.

The option is not a feature of the tweaker, it’s built into Windows. You can use it without the tweaker too, by holding the control key while clicking on the group. The option just makes Windows think you hold control while clicking. Perhaps you were holding the control button when you saw the issue? Does the issue happen when the tweaker is not running.

No, and I don't think it will ever change, the native Win32 GUI is based on technology that is about 30 years old.

But I guess that it's about time to make this work. I spent some time (much more than I hoped for) to go over all languages and fix the kind of issues I described in the other comment here. I hope that all of them are indeed fixed. Please try the newly released beta version, 5.9.0.1.

I don't quite understand what you mean. Can you attach a video which demonstrates the problem?

Windows 10 Version 2004 support was added in 7+ Taskbar Tweaker v5.9.

Windows 10 Version 2004 support was added in 7+ Taskbar Tweaker v5.9.