“You’re Outta Here!!! An addition to this year’s NFL rulebook makes clear that the new rule resulting in automatic ejections for two unsportsmanlike conduct fouls applies not only to players but also to coaches, trainers and equipment personnel
The two-foul rule applies only to certain types of fouls, including abusive language toward an opponent or official. It’s rare for a coach to get flagged for abusive language twice in one game, but it’s at least possible that it could happen.
If it does happen, that coach will earn the dubious distinction of being the first head coach ever to be disqualified from an NFL game ie: Trivia question
SOURCE: Pro Football Talk