You can buy a product called brewer's yeart, or nutritional yeast, at the health food store. I think they are the same thing (as each other). Some purists don't want to eat anything that sounds like it came from a brewery, hence the name "nutritional" yeast. It comes powdered or flaked. IMO the powdered tastes better. We sprinkle it on popcorn and toast and add it to smoothies. It's very high in B vitamins. It should be fine for your chickens, dogs, kids, whatever. It is a by-product of brewing beer, I believe (beer, that is and not wine, but don't quote me).
Now, having said all that, I don't know if the sludge at the bottom of your beer barrel is EXACTLY the same thing, or if you need to bake (as you said), dry, centrifuge or otherwise somehow further process your sludge to make it the same as this commercially available brewer's yeast. It would be way cool if it is the same! Go buy some and compare. If it is, let us know. I'll go find a brewer and swap eggs for spent yeast!