Preheat 350 - rack in middle.
Butter 9 x 13 pan or 2 8 in pans
2
Make Cake: Mix flour, powder, soda and spices.
Beat butter, brown sugar, and vanilla with mixer at high until pale and fluffy. Add egg sub 1/4c at time beating well. Add applesauce. At low speed add flour just until combined. Stir in walnuts.
Spread batter into pan. Bake 40 - 45 mins. Cool in pan 15 mins. Cool cake on rack completely.
3
Make Frosting: Beat cream cheese, butter, and vanilla with mixer on high until fluffy. Sift sugar and cinnamon over cream cheese then beat on med until incorporated.
Spread over top of cooled cake.