I'm guessing the joke is that 老师 (teacher) implies an older person (the characters literally means old master) so Moke is insisting he's a 帅哥 (young man/handsome).
Teacher Moke is a young man!!WaaaaaWoooow*bluussh*"Kawaii" in Chinese is...a "young man"!Super cute!!HUH?CuteI'm..."可愛"
Note: These are the same characters used in Japanese as wellCute!WaaaaaTeacher Moke is very cute!......Thank you