The American troops are in Syria against the will of the legal government of the country, in practise they are occupants.
The US Treasury’s Office of Foreign Asset Control, which enforces economic and trade sanctions against countries and individuals, recognised the Donetsk People’s Republic.
Reccurring disinformation. As the DPR appears on the US Office of Foreign Asset Control sanctions list as a separate entity, without any qualifiers such as self-proclaimed or so-called, Ukraina.ru interprets that as de-facto recognition. At the same time, Ukraina.ru adds that according to the US Treasury, the DPR is an administrative part of Ukraine.
According to the US Embassy in Ukraine the self-proclaimed separatist republics are not recognised by anyone although they are listed separately on the OFAC sanctions list. Further debunking by StopFake.