The Feeding Habit. The feeding habit of zebras is a bit complex. Zebras are basically herbivores. They eat plain grass, shrubs, herbs, twigs, leaves, roots and bark from trees. Grass is the basic diet of mountain and plain zebras. It forms about 92% of their overall diets. They eat red grass, Bermuda grass that they find along the riverbeds and short grasses like common finger. Zebras also eat herbs and shrubs which constitute about 5% and 2% of their diet plan respectively.