"Omnivarian" would mean someone who eats ALL foods - meat, poultry, seafood, vegetables, grains and fruits. The idea is taken from "omnivore," which describes an animal that eats both plants and animals.
An omnivoure is a person or animal that eats both vegetable matter and animal flesh.
From Latin:
Omnis - All
Vorare - devour, swallow
Omnivores are animals that eat both plants and meat, e.g. humans.
someone that eats meat and veggies
animals who eat both grass and meat