It isn't likely the cold. It is probably the lack of daylight, at least if you're in the northern hemisphere, this time year. We're down to only 7.5 hours of daylight here and that is not enough for nature to say to the brain/hormone system of the bird, "Lay eggs!!"
You can "fool" the bird's system by provided artificial lighting supplementation. Most folks use 12-15 hours of lighting to keep production going. That's a choice you have to make. Others, take a natural approach and just let the birds rest.
Again, it isn't the temps, it's more likely the darkness.
A touch, a touch of corn won't hurt. But, just a handful, in the later afternoon. It isn't a balanced feed and the birds need to remain on their feed formula as per usual.