Hmm, how do you define that? They make fun of trans issues sometimes, but that's not 'spreading hate' in my books.
A sibling comment gives an example headline:
NCAA Swimming Champ Caught In Possession Of Performance-Enhancing Testicles
"The Babylon Bee's Man Of The Year Is Rachel Levine"
featuring gems like "UPDATE: Since announcing this award, we've been told that Levine actually identifies as a woman. We have still chosen to give the award as his self-identification has no bearing on the truth. Congratulations, Rachel Levine!"