By David Shepardson WASHINGTON (Reuters) -A U.S. appeals court on Tuesday struck down a Federal Communications Commission (FCC) requirement that broadcasters check federal sources to verify sponsors’ identities. The court noted that the FCC had raised concerns “that the Chinese and Russian governments have been secretly leasing air time to broadcast propaganda on American radio.” The FCC rules, which were finalized in April 2021, require foreign-government sponsorship disclosure at the time of a broadcast if a foreign governmental entity paid a radio or television station, directly or indirect…