I noticed mine ate less while molting, and dropped a bit of weight. I started mixing their feed into scrambled eggs (mixed and then cooked). They loved it! This gave a nice protein boost and got them through it. I did not notice decreased water consumption though. You could add some electrolytes to maintain hydration.
You can try dripping water on the side of their beak and letting them take it in, or even dipping the tip of the beak to get them started. Is it possible there are also lice/mites present, or some other problem going on as well? Any chance the feed isn't up to par, that it got wet, or wasn't fresh when you bought it? This does sound like a really bad reaction to molting, if nothing else. I know it does make them uncomfortable.
One way or another, I'd work at getting them to eat and drink, and probably add a supplement to the water, maybe a little Poly Vi Sol or other vitamins / electrolytes (also sold at most feed stores.) Attractive, nutritious snacks like scrambled eggs are a good idea, too. I wish you luck.
Hi my chicken is molting and she is not eating a lot. Some lettuce, some worms and yogurth and water. But that is all. She is more frightened than usual.