The sawdust has nothing to do with anything. A hen will lay when her hormones tell her, there is enough light and warmth, she is getting enough protein, she is healthy enough and is not stressed. So you need to address all of these if you want eggs this time of year.
If you are now going into winter, their bodies tell them to stop laying. So extra light, (13-14 hours a day, regular daylight with added artificial light) and heat if it is getting much below freezing. The hens need to be on a high protein diet of at least 24% to continue laying, along with crushed oyster shell on the side for a hard shell. They also need to be healthy, wormed if they need it and not ill in any way. If they are too crowded in, or there is a lot of human traffic, dog traffic, kid traffic, or predators lurking at night, this can stress hens and they won't lay.
Give each hen at least 2 square feet per bird. Add hidey places to either lay their eggs or get away from each other (over turned flower pots, wooden boxes, etc..) and put some real or artificial foliage to create a brush pile effect so that they feel protected and more natural. This will relax the hens and help them be more comfortable laying more eggs.
If you have moved them to a completely new area, they will also need time to adjust. Shouldn't take too long and will happen faster if you address the above concerns.
