For anyone unfamiliar with the term- https://tvtropes.org/pmwiki/pmwiki.php/Main/BrokenAesop
Basically a Broken Aesop is when the writers of a story try to include a moral lesson to the audience but the events of the story don’t fit said moral or even contradict it entirely.
Note that a Broken Aesop only applies from an in-story perspective. Something like for example, making an animated movie about forest conservation when trees need to be cut down to make the paper used for animation, is NOT a Broken Aesop because that’s looking at it from an out-of-universe perspective. The contradiction must come from the story itself.
The worst example I can think of is from the “Power Rangers Ninja Steel” episode "Grave Robber." In the episode the Rangers decide to play a board game except for Levi the Gold Ranger who declines as he doesn’t like board games and leaves. The game turns out to be a trap for the Rangers that forces them to fight while various handicaps are inflicted upon them. Meanwhile Levi is chastised for not playing with the others so he returns and manages to save them.
Why is this a problem? Two reasons. First if Levi had stayed and played the game with the others then he would have been caught in the exact same trap. The episode claims he was wrong to go off on his own, yet he was only able to save the day because he did just that.
Second, the moral is supposed to be “you can‘t always expect people to do what you want to do.” But that’s not what Levi did. He didn’t try to stop the others from playing their game, he didn’t try to make them do something else or make them feel bad about playing it. He was perfectly happy for them to play while he went off and did something else. Because of this the intended moral of “you can‘t always expect people to do what you want to do” now comes across as “you should do things you don‘t want to because other people are doing them.” In other words, “give in to peer pressure.” That’s a horrible moral especially for a kid’s show.