Why is doomsday production taking so long it takes 7 day to do one production and I don't receive that..

The production time will depend on the level of the production buildings you have placed. You can place up to 4 buildings depending on how many alliance centers your alliance has built. And then upgrade each of them with composite materials (that you get from processing some of the resources). Keep processing resources and upgrade the buildings to make it work faster.

You can also use speciality points in the Blue section to speed up the processing and add more processing queues as you earn more speciality points.