Wagner Group is now a formally designated International terrorist organization.
It is just a front for Russian Military Intelligence - it is the Russian Government that is engaged in organized terrorism, as a matter of policy.
Oops, my mistake - International criminal organization, not terrorist.
The US Government has formally determined that the Russian Government has committed crimes against humanity in the Ukraine.
Both of those designations carry legal, economic, political and diplomatic implications - but the terrorist designation has yet to drop. It has been being discussed for some time already, and the wheels are slowly turning.