A rooster will not increase egg production, but is needed to fertilize the eggs. If your hens are not laying as many as you would like, adding a rooster will not make the hens lay more eggs. However, winter is a great time to let your girls take a break.hickens require 14 hours of sunlight to lay one egg. Once fall and winter arrive, 14 hours of sunlight is unheard of, or at least in the place I live. Where I live, the sun rises around 6:30 - 6:45 a.m and sets around 4:40 p.m.