make fun of vs send up

make fun of

verb
  • To tease, ridicule or make jokes about, generally in a pejorative manner. 

send up

verb
  • To imitate someone or something for the purpose of satirical humour. 

  • To put in prison. 

  • Used other than figuratively or idiomatically: see send, up. 

How often have the words make fun of and send up occurred in a corpus of books? (source: Google Ngram Viewer )