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Preheat the oven to 350°F. Grease the wells of two standard doughnut pans. If you don't have two pans, no problem; you can bake in two shifts. Don't have a doughnut pan? See "tips," below.
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In a medium-sized mixing bowl, beat together the butter, vegetable oil, and sugars till smooth.
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Add the eggs, beating to combine.
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Stir in the baking powder, baking soda, salt, and vanilla or maple flavor.
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Stir the flour into the butter mixture alternately with the milk, beginning and ending with the flour and making sure everything is thoroughly combined.
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Distribute the bacon pieces evenly among the wells. Drizzle the maple syrup over the bacon, using about 3/4 to 1 teaspoon per doughnut.
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Spoon the batter evenly into the pan(s), filling the wells up to the rim.
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Bake the doughnuts for 15 minutes, or until they're raised and firm, and a toothpick inserted into the middle of one comes out clean.
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Remove them from the oven, and place on a rack or trivet. Loosen the edges of the doughnuts with a table knife or spatula, and immediately turn the pan(s) over onto a piece of parchment or waxed paper. Rap the edges of the pan gently to loosen the doughnuts, and lift it off.
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Place the doughnuts on a rack to cool slightly while you make the glaze.
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To make the glaze: Stir together the confectioners' sugar, salt, and enough maple syrup to make a spreadable glaze.
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Spread the glaze over the doughnuts. Serve warm, or at room temperature. Wrap any leftovers loosely in plastic, and store for 1 day at room temperature; refrigerate or freeze for longer storage.