MIX THE BATTER: In the bowl of an electric mixer, beat together the softened butter, apple sauce, pumpkin, milk, eggs, and sugar until well-combined at medium-low speed. (If you’re mixing by hand, beat the eggs briefly before adding them.) It’s ok if there are bits of butter visible. On top, measure in the flour, salt, baking soda, baking powder, cinnamon, and ginger. Gently stir just those dry ingredients together. Turn the mixer on again to medium-low and mix all until barely combined. Stir in the cranberries and pecans. Divide the mixture between the prepared pans. Shake or thump each pan on the counter to settle and even out the batter, then smooth tops with a rubber spatula.