Does light in coop help chickens lay more eggs?

[Rob Tof]

I have eight chickens and 6 were laying in the fall. This is my first year with my chickens in April it will be a year. As of two weeks ago I would get maybe 2-3 eggs. So I would call that a 50 percent drop in egg production. Two weeks ago I put in a red light. I have also increased there protein intake. Now I have been getting 8 eggs for the past 4 days

 

[Frazzemrat1]

Honestly, its past winter solstice, the days are already getting longer, and egg production should be going up naturally on its own. There's really no point for the extra light.