Hi! Its simple, when you use "been yet" you are talking about an action that that has not happened but will or might happen in a future. In other words there is the posibility of the action to happen.
But, when you use the sentence in past like "was not served" you are talking about an action that has already finish and there is no room for changes.
Imagine you hear that in a restaurant..... "He has not been served yet" = He has not recived his dish, but he will" // He was not served = He didn´t recive any service at all.
I hope This helps you to understand this a little better =) If you have any further questions feel free to ask me