In such a fanfiction, Sakura might be used by Orochimaru for his experiments. He could be interested in her chakra or her medical knowledge. Maybe he would try to extract some special power from her or force her to assist him in his unethical research.
Well, it could also be that Orochimaru kidnaps Sakura to lure Sasuke. Since Sasuke has a connection with both Sakura and Orochimaru. Orochimaru might think that by having Sakura in his grasp, he can manipulate Sasuke into coming to him for various reasons, like to save Sakura or to make a deal regarding her safety.
Naruto getting kidnapped by Orochimaru would be a really dangerous situation. Orochimaru could start by putting Naruto in some sort of chakra - suppressing device. This would limit Naruto's ability to use his Nine - Tails power. Then, he might try to implant some of his cursed seals on Naruto, which would give him more control over Naruto. But Naruto has his own allies within himself. The Nine - Tails, despite their rocky relationship, might help Naruto out in this situation. Also, Naruto has the memories of all the people who care about him. He'd draw strength from those memories and keep his hope alive, waiting for the moment when he can break free and return to his friends and the village.
She could also pretend to cooperate with Orochimaru at first. Gain his trust a little bit and then when he least expects it, make her move. Maybe she could ask Orochimaru for some tools or access to certain areas under the pretense of helping him with his work, but in reality, she is setting up her escape.
Well, Naruto could potentially be used as a bargaining chip by Orochimaru. Orochimaru might try to trade Naruto for something he wants from Konoha, like secret jutsu scrolls or some kind of political power within the village. And Naruto, being the determined hero he is, would likely be constantly looking for a way to escape and foil Orochimaru's plans.
In a scenario where Orochimaru kidnaps Hinata, the Hyuga clan would surely get involved. They'd be outraged and use all their resources to find her. Orochimaru might be interested in Hinata's Byakugan for his experiments. He could try to extract its power or study it. But Hinata has been trained in the Gentle Fist style, so she might be able to hold her own against Orochimaru's minions for a while. And who knows, Sasuke might also get involved. He has his own history with Orochimaru and might see this as a chance to confront him again, especially if he realizes that an innocent like Hinata is in danger.
Well, Naruto might use his Nine - Tails chakra to break free. He's a tough one. He could also try to outwit Orochimaru with his ninja skills. Maybe he'd pretend to be unconscious and then surprise Orochimaru when he least expects it.
Well, in such a fanfiction, Sakura might be used as a bargaining chip. The Akatsuki could try to exchange her for something valuable, like secret jutsu. Or they might want to extract information from her about Konoha's defenses.
Well, in such a fanfiction, Sasuke might be taken to Orochimaru's lair. There, Orochimaru could try to force Sasuke to accept his power - like the cursed seal. Sasuke, being strong - willed, would likely resist at first. But Orochimaru has his ways of persuasion. Maybe he'd show Sasuke some dark jutsu that could make Sasuke more powerful. And Sasuke, who's always eager to gain power to avenge his clan, might start to consider Orochimaru's offer despite the risks.
Perhaps she'll use her own abilities to escape. Sarada is a strong and intelligent ninja. She could outwit the kidnappers, find a weakness in their security, and make a run for it. For example, she could use her Sharingan to deceive them or find a hidden passage if she's locked in a room.
It could be that the kidnappers have a personal vendetta against Asta. They might be from a family or group that was shamed by Asta's actions in the past. In this situation, they might not be interested in his anti - magic directly. Instead, they just want to get revenge on him. Asta, being the positive person he is, would probably try to talk some sense into them. But if that doesn't work, he'll have to rely on his physical strength and whatever anti - magic powers he can muster up to defend himself until help arrives.
Well, Sonic might be held in a high - tech prison. His friends like Tails would start a rescue mission. They could use their unique skills, Tails with his flying and mechanical abilities, to track Sonic down.