It could be Pikachu. Since Pikachu has been with Ash from the very beginning and is his most iconic Pokémon. It's very likely that in Sinnoh fanfiction, Pikachu would be frequently used as it has a strong bond with Ash and is also very powerful.
Bulbasaur is another possibility. It was one of Ash's early Pokémon. In Sinnoh, a region with different types of Pokémon and challenges, Bulbasaur's grass - type abilities could come in handy. And it has a cute and friendly appearance that might make for interesting storylines in the fanfiction.
Perhaps there is a threat to Sinnoh that only Ash's old Pokémon can help solve. Some kind of ancient evil that has knowledge of Ash's past Pokémon battles. Ash and his old Pokémon then have to work together to defeat this threat. They might need to combine their old strategies with new ones they learn in Sinnoh to succeed. And along the way, Ash might meet some of his old friends who are also in Sinnoh and they help him in his mission.
To inspire new ideas for his Pokémon adventures.
He could be using it to improve his writing skills. By analyzing his old fanfiction, Ash can identify areas where he has grown as a writer and areas that still need improvement. For example, he might notice that his descriptions of Pokémon battles were a bit simplistic in the past and work on making them more detailed and exciting in his current writing.
He might use them because they are his tried and true companions. Ash has a strong bond with his old Pokémon, and in the Kalos region, he wants that familiar support.
His first Sinnoh Pokémon could be a Chimchar. Imagine Ash finding Chimchar being bullied by some other Pokémon. Ash steps in and Chimchar decides to join him. Chimchar's energetic and mischievous nature would add a lot of fun to Ash's Sinnoh adventures as it grows and evolves into an Infernape.
Typically, his old team could include Pikachu, of course. Then there might be Charizard, Bulbasaur, Squirtle, and others like Greninja. These Pokémon have been with Ash through different adventures in various regions.
Ash can use old fanfiction to better understand different perspectives within the Pokémon world. Fanfictions might have explored the lives of Pokémon in ways not shown in the main series. By using these ideas, Ash can become more empathetic towards Pokémon and form stronger bonds with them. For example, if a fanfiction delved into the feelings of a shy Pokémon, Ash could use that knowledge to help such Pokémon in his journey.
It could mean that Ash, in the context of fan - created Pokémon stories (fanfiction), utilizes all the Pokémon available to him within those fictional narratives. For example, he might use different Pokémon for various battles, quests or adventures as written by the fanfiction authors.
It could be for nostalgia. Ash has a long history with his Pokémon, and using the old ones in a Unova fanfic might be a way to bring back memories for the readers who have followed his journey from the start. It also shows his growth as a trainer, as he can rely on the skills and bonds he's developed with his older Pokémon in a new region.
Well, it could mean that Ash is drawing on the creativity and unique ideas from the old fanfiction. Maybe he finds inspiration in the different storylines and character interpretations that were present in those works. It might also indicate a sense of nostalgia, as the old fanfiction could represent a bygone era of Pokémon fandom.