I've sent you an email. Feel free to contact me if you didn't get it.

Please try the newly released beta version, 5.8.0.5, I believe it should be fixed. Let me know whether you still see the problem.

Please try the newly released beta version, 5.8.0.5. I believe it should be fixed.

Please see this topic:
https://tweaker.userecho.com/topics/1002-if-you-have-7-taskbar-tweaker-installed-and-update-your-windows-10-to-the-new-2004-version-it-will
Closing as duplicate.

Windows 10 Version 2004 (Released May 27) Support Status

• Latest release version, 7+ Taskbar Tweaker v5.8, October 21:
  Latest supported version is Windows 10 version 1909.
  Windows 10 version 2004 is not supported.
  A new version compatible with Windows 10 version 2004 is being worked on.
• Latest beta version, 7+ Taskbar Tweaker v5.8.0.4, April 24:
  Windows 10 version 2004 is partially supported, most options work.
  An access code is needed to activate the insider build support. See this blog post for more details. Click here to get an access code.

Please check your settings in Taskbar Inspector to see whether you have a specific configuration set for Edge. Image:

If not, please post a screenshot that demonstrates the problem.

Thank you for the report. Already reported here:

https://tweaker.userecho.com/topics/985-7tt-not-working-on-win10-2004-19041172

Closing as duplicate.