Set the oven to 350F

To make the cookies, cream together the butter and the sugars. Beat in the oil and eggs, one at a time.

Beat in the molasses, vanilla, and spices.

Whisk the flour, baking soda, baking powder, and salt together. Slowly add to the bowl, and mix until combined.

Form balls of dough about the size of golf balls, and place 2 inches apart on an ungreased baking sheet.

Put about 1/2 cup sugar in a bowl. Lightly butter the bottom of a drinking glass and dip it in the sugar to coat. Use the bottom of the glass to lightly press down on each ball of dough to flatten and create the rough edges. Dip the glass back in the sugar for each cookie, but there's no need to re-butter it.

Bake the cookies for about 8 minutes. They won't get brown, and they will still seem a little soft, but they will firm up as they cool.

Let them cool on a rack and then frost them,liberally! Give them a final dusting of nutmeg.

To make the frosting: cream the butter and cream cheese together and add the cinnamon and vanilla. Slowly beat in the sugar, and as it gets too thick, add enough milk to thin it to a spreadable consistency. Beat until it is smooth and glossy.