In a large bowl, beat the eggs, applesauce, remaining sugar, and salt together. Add in the dissolved yeast and mix well. To this mixture, add half of the flour, one cup at a time, beating until the flour has blended well with all the other ingredients, forming a sticky dough. Knead the dough on a lightly floured surface, until it is smooth but still sticky. Place the dough in a large bowl, and coat it with oil on all sides. Cover it with a light cloth, and let it rise in a warm place for half an hour.