Watch using nasty water to make sprouts (I recall a sprout-caused case of human deaths in Europe a few years ago). An earlier post said it all when they mentioned a medium. When we plant seeds in soil or a medium, they're not saturated with water, and there's a chance for all sorts of bacteria to grow in that media - so-called good ones that may fight off the ones that can kill us. The point is that in a growing medium, the seeds have a chance to find balance (in terms of moisture - also, regarding bacteria, when grown in a media, the plant grows out of it - and if it's a root crop we want, we usually peel and or cook it - see where I'm going?). Sprouting is totally different, and you should use great care - as others have said, getting the moisture level just right (not too much) is the key. Any nasty bacteria in the sprout water is going to be on the raw sprouts. Sprouting seeds are converting starch and proteins in the seed and do not need added nutrition to sprout. They need it once sprouted to grow into a plant - but not to get started - you don't need to add scunge water to sprouting seeds. Use clean water.
Not all chickens seem to eat greens. Our Leghorns, Crevecouer, and Seramas love most greens. Our Sultans tend to stick up their noses - er beaks - at greens (or anything but feed). Too long and the greens can get stuck in the crop and cause problems. I'd cut them down to less than 2 inches (one inch or less is better - like what they'd pluck off a small growing plant, which is what they tend to go after in the yard) or feed with only a small amount of green coming out of the sprouted seed. You're growing the sprouts to get them to eat greens in the winter, right? If they won't eat them, I'm not sure it's worth the money and bother. They may just need time, or they may need the sprouts to be chopped. You may need to feed them greens when they're hungry (i.e. before the grain feed). Do they like yogurt? Smear a little on the greens and see what happens. Also, feeding them sprouts with seed sections still attached - the birds may be inclined to eat that part - and they'll probably have to eat down the green part too to get the seed part.
Also, when we give (clean, non-poisoned) grass clippings, much of that goes uneaten. They pick at it and eat a fair amount - but much is left on the ground. When I toss in forbs, however (like clover), it's eaten 100%. Same with chard, kale, and lettuce - and other vegetable leaves and forbs. Grass is much harder to digest and has less protein than forbs (and veggies). If you're sprouting wheat for your birds, it's a grass. Alfalfa seeds - a forb/legume (not a grass). Still, when chickens eat grass, they want it as young as possible (and will eat it, and should eat sprouted grass). But some types are picky. I've read stories where cornish rock crosses turn up their noses at anything - even juicy bugs - except feed.
I'd use clean water only when sprouting. Once you figure it out, you'll get good results, and you'll stave off infections. From my experience, seed sprouting is purely about getting the moisture level right (and temperature - too cold and they won't sprout). That's it.