Acheampong, 19, and Badiashile, 24, both started the match, marking the first time they played together in a competitive game.
Neither player finished the game, with Badiashile leaving the field in the 55th minute and Acheampong following 13 minutes later.
Chelsea were already without several players due to injury or suspension, including Trevoh Chalobah, Wesley Fofana, Tosin Adarabioyo, and Levi Colwill.
Following the game, Caballero, who was filling in for Enzo Maresca, shared a brief update on the situation.
"They are okay," he said. "They were a bit worried about their situations, but we talked to them and they are okay. They need some time to recover well."
