You don't think Beasley played his part in that when he yanked Draymond by his arm, causing him to do a 180 turn, even before Draymond momentarily spun him around?A flagrant foul in general falls under that description. Its up to the referee crew or the league itself to determine the severity.
Green was deserving of a flagrant 1 because the contact was unnecessary, but not a flagrant 2 b/c the contact was not severe.