I would say the first part of your sentence as: "She adjusts her lesson based on the needs and preferences of her students." However, I'm not entirely sure what you mean by the second half of the sentence. Does this mean that she (the teacher) adjusts her lesson after she is trained, or that she adjusts her lesson after conducting a basic training with the students to determine their needs and preferences?

I would say it is correct although the words "of course" aren't necessary in the sentence . You can add them for emphasis if needed.