Cream softened butter and sugar in a bowl until light and fluffy. Add eggs, applesauce, and vanilla; mix well. Set aside.
Sift together flour, baking soda, cinnamon, cloves, and allspice; beat into applesauce mixture. Stir in chopped nuts and raisins until completely mixed. Spoon into muffin tins lined with cupcake wrappers.
Bake in a 350° F oven for 10 minutes, or until brown. Remove from oven. Cool on wire racks.
Servings: 2 dozen muffins