The issue is what do you have when you have no trophies under Solskjaer?
What has our improvement actually entailed up to this point under Solskjaer? 8 points in the league, which is 2 wins and 2 draws more than we got in the season he took over. That isn't actually a lot when you consider the over £200m worth of net investment for the side (the highest of any Premier League club during this period) and the two and a half years up to this point.
We have scored 73 goals in the league and conceded 44 goals. Last season, we scored 66 and conceded 36. In 2018/19, we scored 65 and conceded 54 goals.
When you consider we scored 9 goals in one game, our goal scoring isn't actually very impressive. Despite that 9 goal win, we still only managed to score 6 more than last season and 7 more than the season he joined. Overall, this indicates that our goal scoring per game has not improved despite the addition of Fernandes and Cavani.
20/21 - goal scored per game (with 9 nil victory - over the 38 games) - 1.92
20/21 - goal scored per game (without 9 nil victory [anomaly win] - 37 games) - 1.68
19/20 - goal scored per game (over the 38 games) - 1.73
18/19 - goal scored per game (over the 38 games) -1.71
The anomaly of a victory has given the appearance that there has been improvement, but outside of that game, we are actually scoring at a lower rate than the previous two seasons.
Goals conceded are up on last season, but there was an anomaly with the 6-1 defeat to Tottenham.
20/21 - goal conceded per game (with Tottenham defeat - over the 38 games) - 1.15
20/21 - goal conceded per game (without Tottenham defeat - over the 37 games) - 1
19/20 - goal conceded per game (over the 38 games) - 0.95
18/19 - goal conceded per game (over the 38 games) -1.42
We have seen improvements defensively over his first season, but it has actually dropped off from last season (even when you remove the anomalous result).
Overall, I feel that there is a bit of a false premise of improvement. I think a lot of the basis of improvement has actually been founded on finishing second, but that really has more to do with the 30 point drop off of Liverpool than clawing that gap through our own improvement. In truth, I think Solskjaer has been a bit fortunate that Liverpool did fall so far as there would be no second place to plaster over the lack of substantial improvement.
No trophies again just becomes more indicative that he may not be the right manager for the job.