It would depend alot on the situation and location, but I think this is pretty basic if I need to rebuild edc immediately.
1)knife
2)Fire starting material
3)rope, or some other lashing material
4)blanket
5)raincoat or poncho
By the way, this list will remain the same for most situations except for differances in form.
In the woods it could a sharp rock for the knife, a fire spindle, wild grape vines for expedient lashing, a brush shelter for protection against rain, and leaves and grass for a blanket. There are other things I would want, but these are my first five concerns in most situations.
Outside my house, it could be supplemental stuff that I keep inside
Really the idea is to keep me warm and going until I can gather other things I may need (a pot to boil water, food, medical supplies, flashlight, ect.)