。
She enrolled in two evening classes at the local university.
Literal
She [topic-は] local [possessive-の] university [possessive-の] evening-classes two-classes [to-に] registered.
夜間授業 ('evening classes') combines 夜間 (nighttime) and 授業 (classes/instruction). ２クラスに登録した ('registered for two classes') uses the loanword クラス and the Sino-Japanese verb 登録する ('to register/enroll'). 地域の大学 ('local university') implies a community college or nearby institution — 地域 ('area/region') specifies it's not a major national university.