One is manure - ie has loads of nutrients (the NPK stuff) in it that makes plants grow.
The other is compost - ie a type of growing medium that allows the roots to take up the NPK stuff, but doesn't contain nutrients itself.
They are complimentary. The better either/both is/are the better the plants will be.
Chicken pellets are a good allround ORGANIC feed, as is Blood, Fish and Bone. Growmore does the same but is not organic.
Mushroom compost is also good stuff, as it's of a fine grade. BUT it can be acidic.