The film was made under one name then retitled, "The Innocence of Muslims" by the individual that produced it. The US government had nothing to do with the production of the film. It was made by Nakoula Bassely Nakoula, an American citizen originally from Egypt.
News article from the Seattle Times:
http://seattletimes.com/html/businesstechnology/2019189462_apusegyptfilmmakerfreespeech.html?prmid=head_main