It could be that the Order has a plan that only Harry can be a part of. His unique experiences and skills, like his ability to resist the Imperius Curse and his connection to Voldemort, are valuable. So they summon him to put these to use in their fight against the Dark side.
Well, he might be given a dangerous mission. Maybe he has to infiltrate a Death Eater stronghold or protect a crucial magical artifact.
Maybe he is summoned to receive special training. The Order could have found a new way to enhance his magical abilities, like teaching him some ancient and powerful spells that can be used against the Dark Arts. It would be a great opportunity for Harry to grow stronger.
One reason could be for protection. The Order might think that Harry is in danger and they want to keep him close. So they summon him to a safe location where they can watch over him.
Maybe for the sake of an interesting crossover. Writers often bring different characters from various universes together to create unique and exciting stories.
Another reason could be that Harry sees the Order as being too cautious or old - fashioned in their approach to fighting Voldemort. He might believe that their traditional methods are not enough to defeat Voldemort quickly and effectively, and this lack of progress makes him angry at them.
Maybe he feels that the Order is keeping secrets from him. In many fanfictions, Harry can be a character who values honesty and when he discovers that the Order, which he may consider an ally, is hiding things from him, it can make him angry.
Well, perhaps in this fanfic, the Goblet of Fire might summon Harry in a different way than in the original story. Maybe it has a mind of its own and specifically targets Harry for a more dangerous and secretive task that the original Triwizard Tournament didn't include.
In such a fanfic, Harry might initially resist the summons. He has his own battles and responsibilities in the wizarding world. However, if he does go, he could introduce new concepts to the Jedi. His knowledge of complex spells and potions could be applied in ways the Jedi haven't thought of. For example, he might create a potion that enhances one's connection to the Force. The Jedi Council, on the other hand, could teach him about self - control and discipline in a different way than Hogwarts did.
A common plot twist in fanfics about Fem Harry being summoned is that she's summoned by a group of powerful witches who want to use her to break a powerful male - dominated magic system. They believe that Fem Harry, with her different perspective and abilities, can be the key to changing things. Another one could be that Fem Harry is summoned to a magical library that is hidden from the rest of the wizarding world. In this library, she discovers secrets about her family and her own powers that she never knew before. Also, it's possible that she's summoned to a magical trial where she has to prove her worth as a wizard, but the rules are completely different from what she's used to at Hogwarts.
Maybe he has read some really bad Order fanfictions before that were full of inaccuracies. For example, the characters' personalities were completely distorted or the plot was so far - fetched that it made him lose trust in all Order fanfictions.