Use a little more than half of the butter to grease three 6" cake pans. Trace one of the pans on a sheet of parchment paper, and fold the paper to make it triple layer. Cut out the circle using the triple layers. This is just a time saver so you don't have to cut out three individual circles. Place the parchment circles on the bottoms of each pan, and butter them as well. NOTE: alternatively you can use two 9" cake pans and make a double layer cake.
Preheat the oven to 375˚F at sea level, or 380˚ at 7000'.
Combine the flour, baking powder, baking soda, salt, cinnamon, nutmeg, and allspice in a medium bowl. Whisk the dry ingredients thorough to ensure an even dispersing of the ingredients.
Remove any lumps in the brown sugar and pour it all into the bowl of a standing mixer fitted with the paddle attachment. Add one egg at a time, completely mixing it into the brown sugar before adding the next. Mix in the orange zest, and gradually add the oil in a steady stream. Finish off by adding the apple sauce and raisins (if using).
Fold in the dry ingredients in three stages using a rubber spatula, followed by the shredded carrots.
Divide the batter between the three cake pans and smooth to make the tops as smooth and even as possible. You may have a little left over for a couple of cupcakes. Bake until the layers are firm to the touch, and the sides slightly lift away from the pan, about 25 minutes (30 minutes at 7000'). A thin knife inserted in the center of the cake should emerge clean.
Transfer to a wire rack to let cool for 5 minutes in the pans, run a sharp knife around the sides of the pans, and invert the cake layers onto the rack. Do not peel off the parchment paper until the cakes are completely cooled, and you're ready to assemble and frost the cake. I usually make any cake 1 day ahead of a party, cool, and double wrap in saran. I leave the cake on the counter. If I make the cake more than 1 day ahead, I refrigerate it. Alternatively it can be frozen for at least a month.