Okay, if Biden is not authorizing this, who is? Are American contractors acting on their own or for some other entity?

The White House is claiming that there are war crimes and genocide in Ukraine, and they are blaming Russia. A rogue contractor or private army could easily provide a pretext for a greatly expanded war.

Here is a description the operations of the mercenaries from the Spanish link:

In addition to the harshness of a conflict in which “everyone acts in an inhumane way with civilians in between”, this Madrid elite shooter has been surprised by the presence in Kiev of so many private security agencies. "Here I have not seen militias of armed civilians. There are military companies from many countries, including Ukraine. A controller does an interview with you, they know you, they take pictures of you. They see all that you are and have been. There are Polish, Swedish, Danish and, above all, from the USA. They assemble teams of six people and, if you are the card of the deck that they lack, they hire you.