After Dave said those words to them that they lost, they twins had immediately accepted their defeat. But that wasn't all as they have to accept Dave as their leader now. Also, according to the bet that was made, they have to do anything that Dave tells them to do, even if it has to do with them having to leave the faction.
To not disturb those that were practicing and sparring with each other, Aurora had offered for Dave to follow her to a private space where they could discuss what he wants them to do after they had lost to him. Although, that was just one of the many reasons she want him to leave.
She didn't want the others to know what was going on, not after she had just lost to a total stranger in front of them. She could hear them talking about Dave, claiming that he was the new leader everyone kept on talking about. The leader who had defeated the Tai Faction by summoning beasts out of nowhere.
