I don't know if they mean evidence in a specific sense. I think they mean misplaced faith in data in a meta sense, giving it more power to affect decisions than it should. The idea that everything can be solved by commissioning a study, acquiring data, and analyzing it. Or that "the data" becomes an unquestioning authority that you invoke.

edit: the word "Scientism" is probably closer to the meaning here; science and rationality as a belief system in itself, as opposed to tools that help us understand physical processes. Faith in these tools to supply meaning and create a better society, often to absurd levels.