Here is the answer to this problem from the support team.
Run this in terminal
sudo chown -R root:wheel /Users/(fill in here)/Library/Application\ Support/com.adguard.Adguard/kext/
I love Adguard, but have run into a problem.
I recently upgraded computers, and after restoring from Time Machine, I believe the version number may have change in-between for Adguard, anyways, I now cannot turn on Adguard it gives me this error.
I have tried a clean removal of the program...