The first time the two met was in season 3 of the anime during the forest training camp arc. During which Toga worked with the league to kidnap Bakugo. When Bakugo learns the villains are after him, not only does this not deter or scare him but it seems to excite him. Toga and the other villains fight against many of the other students to try escape with Bakugo. They end up being successful thanks to Mr. Compress and bring him to their hideout.
When Bakugo comes to he realizes where he is and sees Toga and the rest of the villains staring at him intently. Then Shigaraki tells him about who they are and why they want him on their side. He then gets Dabi to unchain him, thinking that he'll cooperate with them only to be mistaken. When Bakugo refuses to join them and tries to fight them Toga asks Shigaraki if she can cut Bakugo with her knife. Eventually all of them get transported to a different location by all for one.
During which the league tries to gang up on Bakugo and all of them try to attack him at once. Toga tries slashing at him with her knife but Bakugo dodges the attempts and explodes himself away from her. While trying to avoid the villains attacks, Himiko looks eager to cut Bakugo. Toga is greatly disappointed when Bakugo manages to escape them with the help of his friends. The next time the two see each other indirectly is in the paranormal liberation war arc in the manga.
BakuToga is a rare pair in the mha fandom. Mainly because the two are enemies and have never "technically" spoken to each other. A lot of people ship the two from a purely aesthetic point of view. The two both have ash blond hair and have very violent personalities and temperaments. They both also look and act evil. Some people also like the whole tsundere-yandere dynamic between them. It has a decent sized fanbase on tumblr.
- Nobuhiko Okamoto, Bakugo's Japanese voice actor said in an interview that Toga is his favorite female character in the show.