I have never heard of Donaghy compost, but will assume it's just unsifted compost at this point.unsifted Donaghy compost
I have been sifting my compost because I literally throw just about anything organic into my chicken run compost system. That includes bones, fish guts, twigs, etc... and that stuff I would not really want in my raised beds. The bones and branches work themselves down into the finished compost layer, but of course they take a lot longer to decompose.
I live on a lake and will throw the fish remains, after cleaning the fish, into the chicken run. The chickens will eat some of it, and most of the rest just gets covered up and buried into the compost on it's own, where I assume the worms will eat the rest of it. I don't like to leave fish remains on top of the compost for the night because I think it might attract varmints. So I will bury those fish remains into the compost before they start to smell.
Before I had chickens, I would just bury the fish remains in the garden and in a couple of weeks the remains would be magically gone. With chickens, they get first crack at whatever they want to eat.
Same goes for kitchen scraps, which I usually only fed to them in the morning. If anything remains at night when I put the chickens in the coop, I will just throw some compost on the scraps to cover it or bury it in a small hole in the chicken run compost.