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Windows Are Not Shown After Sleep in macOS Big Sur — Solution is Here
Apple is not playing well with external monitors beginning from macOS Catalina and everything becomes weirder with Big Sur

You bought a brand new car and enjoying the driving on an empty road. You saw a car behind from rear view mirror and the day is getting dark. As a result, your brand new expensive car made mirrors more dark because it doesn’t want you get affected by headlight. The problem is that while doing this operation, the rear view mirror doesn’t show a car behind anymore because of driver problem. The mirrors go more in angle and completely black somehow. What do you think? It is a big frustration, right?
Basically, macOS Big Sur is behaving similarly when you are connecting external monitor to your macbook pro. If the windows are on external monitor and computer goes to sleep, when you made it wake up the windows won’t be there where you left.
The solution is simple (I found the solution accidentally) after searching for solution more than a hour on the Web. I will also mention other solutions but the solution I mentioned here is the permanent solution which means when you do it, your problem should go forever — I say “should” because I cannot predict Apple’s operating system…