"To make a lie" meaning

In Lying and Teaching the Truth by Deborah Hage, one finds

The actions make a lie of the loving words.

This obviously means 'The cruel / uncaring actions reveal the loving words to be deceitful.'

Shakespeare, in Othello Act 3 has

Think'st thou I'ld make a lie of jealousy

meaning 'Do you think I'd say this jealousy didn't actually exist?'

And here, 'that seemed to make a lie of all the wrinkles' means 'that seemed to prove that the wrinkles were bearing false testimony about his age / had appeared far too early'.

to make a lie can be found in the OED:

a. An act or instance of lying; a false statement made with intent to deceive; a criminal falsehood. Phrase, to tell (†formerly to make) a lie.

As in: 'Pshaw, It's Me Grandson': Tales of a Young Actor 2006

Before Clay can finish his line, Rosebud reaches around and bites his chin sharply, as if to make a lie of his claim.