It seems that what you are unsure about is Marxism. Let me try to explain as briefly as possible.
Originally, long long ago, every man and woman worked only for him and herself. Everyone was happy, because they were MAKING themselves (important point).
Then someone figured out that you can make people work for you, ie wages, money. This meant people were no longer Making themselves. They were alienated from their labour, and alienated from themselves. Now people were not happy.
The rich people invented stories that justified this alienation. God chose the king. Men are stronger and more rational than women. Civilization is superior to barbarism.
But these stories also hid things. It hid that women are as strong as men, and better hunters. It hid that there many black vikings, and many blacks in medieval Europe. It hid that gays and trans people have always made up a substantial proportion of the population.
Marxists want to equalize the distribution of wealth, so that oppression will end, and everyone will be happy. Woke is when you are awoken to the oppression caused by the division of labor, and the stories that legitimate it.
Stories have a function in general: to legitimize the oppression of the have nots by the haves. This is the reason Marxists cannot make their own stories. So what they do is they take pre-existing stories and try to subvert to gradually neutralize their oppressive effect.
So, for example, they might make Anne Boleyn black, which disempowers whites, and empowers blacks. This is actually counterproductive.
For example, let’s say you play golf. You don’t think it is an important part of your identity, but suddenly, all your favorite media is filled with golfers as villains, insisting that it is the most important thing about you, and that it makes you evil. Every game and movie considers it essential presupposes that you are evil, and your identity must be deconstructed. You are going to be defensive, and you will naturally group together with other golfers.
This is what we detest about wokeness. Every trope that is subverted, and every race that is swapped is an attempt to deconstruct and demoralize. Moreover, from an entertainment perspective, it just sucks because it is based on a false psychology- no man murders his father without severe psychological consequences. I know it seems like the term woke is being used too loosely, but this is because ALL identities are being deconstructed constsntly.
There is a lot of truth in the accusations Marxism makes, but they always mix in a bit of truth with a falsehood in order to forget or deny basic realities: Being fat is legitimately unhealthy. Only women can have babies. Gender is real. You can’t be born in the wrong body. Most scientific discoveries were made by European cultures. Britain ended the slave trade.