Preheat oven to 350 degrees
Beat eggs with a mixer, add sugar and pumpkin. Add dry ingredients and blend well. Add oil and blend about 5 minutes. Pour into a greased 13-by-9-inch baking pan. Bake for 25 minutes.
While cake is baking, make frosting by beating together cream cheese and butter until well blended. Add vanilla and powdered sugar, beat until smooth, adding milk as needed for spreading consistency. Spread on cooled bars.