Preheat oven to 325 degrees F. Grease a 10-inch tube pan.
In a large pan, slowly bring applesauce to a boil. Stir in molasses and baking soda. (The mixture will foam up.) Set aside to cool.
In a bowl, combine flour, salt, and spices, and stir with a whisk to blend.
In a separate bowl, beat eggs with an electric mixer for several minutes, until light. Gradually add sugar and continue beating until thick. Gradually beat in oil. With the mixer on low speed, alternately fold in flour mixture and applesauce mixture. Pour batter into prepared pan and bake for 1 hour and 15 minutes. Cool cake in the pan for 15 minutes. Remove cake from pan and continue to cool on a rack. Decorate with White Glaze.
Melt butter in a pan over low heat. Stir in confectioners’ sugar and milk and beat for several minutes, until smooth. (If the mixture seems too thin, let it cool slightly, to thicken.) Drizzle over the cooled cake, letting it run down the sides.