1
general::
Phrase(s): make something up to someone
to make amends to someone. • I’m so sorry. I will do what I can to make it up to you. • I will make it up to them. Don’t worry.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Make ingratiating or fawning overtures to, flirt with, as in She was always making up to the boss's assistant. This usage was first recorded in 1781.
American Heritage Idioms