A method for improving animal feed efficiency, efficiency of animal digestion, overall health of animals, and animal feed production efficiency. The method includes administering an effective amount of a feed additive composition having a combination of a dietary fiber and a flavonoid to an animal. The animal feed composition includes a Larch Arabinogalactan in an amount between 0.1% and 30% of the animal feed composition, a Dihydroquercetin (taxifolin) in an amount between 0.1% and 10% of the animal feed composition, and an animal feed carrier or an excipient.