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1
In a large, heavy pot, heat 2 to 3 inches of vegetable oil until a candy thermometer inserted in the oil reaches 375F.
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2
Meanwhile, in the bowl of a stand mixer fitted with the paddle attachment, combine the applesauce, vanilla, and 3/4 cup sugar.
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3
Add the margarine, and mix well.
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4
In a separate medium bowl, combine the 4 1/2 cups flour, baking powder, 1 teaspoon cinnamon, nutmeg, and salt with a wire whisk.
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5
Add the flour mixture and the soy milk alternately to the applesauce-margarine mixture.
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6
Add more flour, if needed, to make a smooth and not-too-sticky dough.
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7
Transfer the dough to a lightly floured board.
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8
Knead for about 1 minute, and roll out to a 1/2-inch-thick circle.
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9
Dip a doughnut cutter into flour, and cut into the dough.
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10
Remove the trimmings and reroll, repeating the process.
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11
Slide a few doughnuts into the hot oil, being careful not to crowd the pot.
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12
Fry until the doughnuts rise to the surface, about 2 minutes, and turn over with metal tongs to fry the other side.
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13
Doughnuts should be golden brown on both sides.
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14
Lift out the doughnuts with metal tongs and drain on paper towels.
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15
Mix together the 1/2 cup sugar and the 2 teaspoons cinnamon.
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16
Place the cinnamon-sugar mixture in a brown paper lunch bag.
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17
Place the warm doughnuts, one at a time, in the brown bag, and shake to coat.
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18
Shake off excess sugar, and place on a serving platter.
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19
Repeat with remaining doughnuts.