The layers of the bulbs are called scales.
What was the reason for digging them up? Were you moving them somewhere else?
You should get them back in the ground as soon as you can(the bulbs with the roots).
Here's info on what to do with the scales
You can make new bulbs out of the scales(called scaling) You do this in the fall after the leaves have died back. Make sure the bulb is still plump and has no signs of disease, holes, or anything out of the ordinary or it won’t work. Start removing the scales carefully, one at a time. The scales must have a white swollen section at the base. You can remove over three quarters of the scales from each bulb and that bulb will still produce a flower the next spring. Often the scales on the outside will be of no use and should be pitched.
Half fill a plastic bag with damp compost, add the scales, and shake the bag gently to assure each scale has contact with the soil. If using a zipper- type bag, don’t expel any air when you close it; with regular bags, blow some air into it before closing. Check the bag weekly and don’t let the compost dry out. After a few weeks you will see bulbils, or tiny white growths at the base of the scales. These will soon start to send out roots and a single leaf. As soon as the root forms, transplant the scale into a pot of it’s own. The scale will soon dry up when the bulbil has become a plant.
Don’t panic because during the first year, the leaves will look nothing like lilies. After the third year, these little lilies can be planted outside. Don’t plant them deep or you will have lots of leaves but no stems with flowers. It can take four or five years for each plant to mature enough to flower.
