[a_screen_name]

"a number of claims that evolution does not make"

such as?

[Thatcherite]

such as?

The fake nature of Hovind's challenge is outlined in numerous places on a marvellous tool for finding information known as the internet.

[Dimensio]

such as?

"Brought time, space, and matter into existence from nothing."
"Organized that matter into the galaxies, stars, and at least nine planets around the sun. (This process is often referred to as cosmic evolution.)"
"Created the life that exists on at least one of those planets from nonliving matter (chemical evolution)."

Those are claims that he makes about evolution that are so dishonest that they cannot even be labelled "distortions" because they are not, in any way, a part of the theory of evolution.

Kent Hovind is a shameless liar for lumping those claims in with evolution. But, as for his challenge, he asks

"Prove beyond reasonable doubt that the process of evolution (option 3 above, under "known options") is the only possible way the observed phenomena could have come into existence."

Science is not about proving that an explanation is the "only possible way". It's about providing the best explanation to fit observed evidence. Also, Hovind is implying that evolution makes the statement that evolution posits that "The universe came into being by itself by purely natural processes". Evolution says no such thing. Hovind is lying again.