Preheat oven to 350℉. Sift the dry ingredients and set aside. Whisk the eggs, oil, sugar, apple cider vinegar, and vanilla extract. Add the dry ingredients. Stir in the carrots, walnuts, and pineapple chunks.
Pour the batter into a greased 9x13-inch pan. Bake for 30-25 minutes, or until a toothpick comes out with crumbs. Let the cake cool completely.
Spread the cream cheese frosting on the cooled cake and serve.