The Blues are through to the final, where they will take on Manchester City later this month, after a 2-0 win at home.
Mount was unhappy at some comments Kroos made before the second leg, where Kroos said there was no one in the Chelsea team that "made him lose sleep."
"I saw one of their players say before that he doesn't lose sleep over individuals," Mount told CBS Sports.
"But as a team, they need to lose sleep over us as a team. We give so much, we defend for our lives.
"You saw that in not many chances that we gave away. We are solid and we need to keep that going."