1
general::
Phrase(s): put the make on someone [and] put the moves on someone; put the hard word on someone
Sl. to attempt to seduce or proposition someone. • I think he was beginning to put the make on me. I’m glad I left. • James tried to put the hard word on Martha. • Are you putting the moves on me?
McGrawhill's American Idioms And Phrasal Verbs
2
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Make sexual advances to, as in He's always putting the make on his wife's friends. This slangy expression, dating from the second half of the 1900s, uses make in the sense of "sexual overtures."
American Heritage Idioms