Yes, the FA Cup trophy was the reason why Erik Ten Hag was given another opportunity to remain as Manchester United's head coach because Manchester United's management believes Erik Ten Hag would turn things around in Manchester United this season. But from what Erik Ten Hag has shown in the Premier League so far, it seems like Erik Ten Hag would not live up to the expectations of Manchester United management. If Erik Ten Hag fails to deliver a convincing win against Southampton this weekend, his job will be at risk.
If the FA trophy is a measure of Ten Hag still being retained as Manchester United coach, it means that the management does not have big plans for the future. They should be more concerned about the condition of the team than retaining a coach who has only managed to deliver one FA Cup trophy since being appointed as head coach two years ago.
Manchester United started the season in a disappointing manner, Ten Hag was only able to lead his team to one win in three matches, they were only able to collect 3 points from the 9 available. It's still early in the season, but already languishing in 14th place in the table, if Ten Hag remains as manager, Manchester United may not be able to win a single trophy this season and could potentially fail to qualify for European competition next season.