Preheat oven to 350°F. In a large bowl, combine flour, baking powder, ginger, baking soda, and salt. In another large bowl, stir together egg product, carrot, zucchini, brown sugar, raisins, walnuts, oil, applesauce, honey, and vanilla. Add carrot mixture to flour mixture, stirring just until combined. Spread batter into an ungreased 13x9x2-inch baking pan.