Worked for me:
If you are comfortable with an older kernel on your system:
Add repository for old kernel, e.g. former repository from Groovy Gorilla:
deb http://de.archive.ubuntu.com/ubuntu/ groovy main restricted
deb http://de.archive.ubuntu.com/ubuntu/ groovy-updates main restricted
Installed Kernel 5.8 + Modules + Headers:
apt install linux-image-5.8.0-53-generic linux-modules-extra-5.8.0-53-generic linux-headers-5.8.0-53-generic
Changed VERSION_ID in /etc/os-release back to 20.04:
root@localhost /e/apt# cat /etc/os-release
NAME="Ubuntu"
VERSION="21.04 (Hirsute Hippo)"
ID=ubuntu
ID_LIKE=debian
PRETTY_NAME="Ubuntu 21.04"
VERSION_ID="20.04"
HOME_URL="https://www.ubuntu.com/"
SUPPORT_URL="https://help.ubuntu.com/"
BUG_REPORT_URL="https://bugs.launchpad.net/ubuntu/"
PRIVACY_POLICY_URL="https://www.ubuntu.com/legal/terms-and-policies/privacy-policy"
VERSION_CODENAME=hirsute
UBUNTU_CODENAME=hirsute
Change into extracted drivers directory, e.g. in Downloads:
cd ~/Downloads/amdgpu-pro-20.50-1234664-ubuntu-20.04
Run the installer:
./amdgpu-pro-install --opencl=rocr,legacy -y
Reboot.
Then, with xrandr you should be able to see the freesync parameters:
[user@localhost]➜ ~ xrandr --props | grep free
freesync_capable: 0
freesync: 0
freesync_capable: 0
freesync: 0
Depending on your monitors connection (here: DisplayPort-0) you may be able to change freesync to 1:
[user@localhost]➜ ~ xrandr --output DisplayPort-0 --set "freesync" 1
[user@localhost]➜ ~ xrandr --props | grep free
freesync_capable: 0
freesync: 1
freesync_capable: 0
freesync: 0