In a mixing bowl, thoroughly combine sugar and oil. Fold in yogurt, applesauce, and vanilla. Set aside. In a separate bowl, whisk dry ingredients. Slowly add dry ingredients into wet ingredients and mix until fully blended.
Pour batter into the loaf pan and bake for 50 minutes or until a toothpick comes out clean from a poke in the center.
While your Apple Pie Bread bakes, whisk together the glaze. Remove the bread from the loaf pan and place on a wire cooling rack with a parchment lined cookie sheet underneath. Pour the glaze over the top and let it run down the bread, soaking into all the cracks and filling it with extra goodness. Allow it to cool for 10 minutes before slicing.