Well, Naruto might be interrogated for information about the Hidden Leaf. The Akatsuki are always after secrets, especially about the Jinchuriki. So they could be trying to find out more about the Nine - Tails within Naruto.
In this fanfiction, Naruto could be used as a bargaining chip. The Akatsuki could try to trade him with the Hidden Leaf for something valuable, like ancient scrolls or some powerful jutsu. They are a group that is always looking for ways to gain more power and influence. And having Naruto in their hands gives them a lot of leverage.
It's possible that Naruto, while captured by the Akatsuki, might try to convert some of them. He has a way of seeing the good in people. For example, he might start to have conversations with Itachi or Kisame. He could try to make them understand that their ways are wrong and persuade them to abandon the Akatsuki. Naruto's strong will and positive attitude could potentially change the course of events in this fictional scenario.
Well, it could go in many directions. For one, the Akatsuki might hold Naruto captive to use him as a bargaining chip against Konoha. They could demand things like the village's secrets or other powerful ninja in exchange for Naruto's life. Or perhaps some members of the Akatsuki would have a change of heart and decide to protect Naruto instead of following their original plan.
Well, in the fanfiction, if Naruto is captured by the Akatsuki, they might try to extract the Nine - Tails from him. They could use various cruel methods. But Naruto being Naruto, he would never give in easily. He would keep fighting back with his willpower, trying to find a way to escape or at least cause some trouble for the Akatsuki members while in captivity.
In a 'Naruto Captured by Akatsuki' fanfic, Naruto might be tortured for information about the Nine - Tails. The Akatsuki are known for their ruthless ways to extract tailed - beast power. They could try to break his spirit and make him cooperate.
Naruto could use his shadow clones to create distractions. He could make a large number of clones and while the Akatsuki members are dealing with the clones, he could find an opening to escape. Also, he might be able to tap into the power of the Nine - Tails more than ever before in a desperate situation, using its strength to break free from any restraints.
In the 'Akatsuki babysits Naruto' fanfiction, Pain might see Naruto as a potential tool or threat. He could try to indoctrinate Naruto into the Akatsuki's way of thinking. Meanwhile, Konan might be the more motherly figure, making sure Naruto is fed and clothed properly. Deidara might also be there, constantly arguing with Naruto about what is 'art' and getting into comical debates.
Well, if Naruto joined Akatsuki, he would likely face a huge internal struggle. He has always been against the Akatsuki's actions in the original series. His values of friendship and protecting the village would be put to the test. He might try to change the Akatsuki from within, using his talk - no - jutsu to convince some members to abandon their more evil plans. But he would also be in a difficult position as the Akatsuki is filled with powerful and dangerous individuals.
In a 'naruto gets captured' fanfiction, he might be tortured for information. His captors could be after the secrets of his Nine - Tails chakra. They may try to use him as a bargaining chip against Konoha.
Maybe Naruto is captured by a powerful and mysterious foe. This enemy blinds him as a form of torture. Naruto's friends and allies in Konoha soon notice his absence and begin a search. Naruto, while in captivity, tries to figure out the motives of his captors. He also tries to find ways to escape, using his chakra to sense his surroundings despite his blindness.
Well, it could be that Sasuke captures Naruto as part of a plan to protect him from a greater threat that Naruto is unaware of. Maybe Sasuke has some inside information about a powerful enemy who is targeting Naruto, and by 'capturing' him, he can keep Naruto in a safe place until the danger passes.
Well, it could be about the Akatsuki having some sort of plan for Sakura. Maybe they capture her to use her medical skills for their own purposes. For example, they might want her to heal their injured members. Or perhaps they see her as a valuable hostage to bargain with the Hidden Leaf Village.