Owners, managers, and instructors can book a studio member into a class; the member gets the usual confirmation email.
Instructors: My Schedule → open one of your class sessions. Your registered members are in the "Booked Members" roster near the top. The "Book a member into this class" card is below it — that card is a tool for adding someone, not a list of who is registered.
Click the card, then search a member by name or email and click Book. Nothing shows until you search — the card does not list your registered members. Credits/passes and waiver rules apply exactly as if the member booked themselves.
The member receives the normal booking confirmation, so they have all the details and the link.