When the right uses the word "woke" they are not referring to a specific thing but, instead, to the vague sense they've fostered that the left is creating systems to subvert how the right wants America to be. https://www.washingtonpost.com/politics/2023/06/05/desantis-haley-trump-woke-republicans/
‘Woke’ no longer means anything

It’s just a term for “things the left does.”

The Washington Post
@pbump woke is a code word for the old establishment not wanting to share power with previously marginalized peoples.