If I understand your post correctly, it sounds like you're asking what the cheapest method to travel between Frankfurt Airport and Munich
Hbf tomorrow afternoon is. The answer is the train. This costs €75 with ICE (about 4 hours), €63 with IC (4.5 hours if she takes the right connection) or €30 with the Schönes Wochenende Ticket already mentioned by MT (7 hours).