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For the cake:
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Preheat oven to 350F (180C).
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Coat two 9-inch round cake pans with cooking spray with flour or coat the pans with regular cooking spray, line them with parchment paper and spray the paper.
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Mix together whole wheat pastry flour, all-purpose flour, baking powder and salt in a small bowl.
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Set aside.
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Place almonds in a food processor and process until finely ground.
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Add milk, oil and almond extract and pulse to combine.
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Beat egg whites in a medium bowl with an electric mixer on high speed until soft peaks form.
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Add 1/4 cup sugar in a slow, steady stream.
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Continue beating until stiff peaks form.
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Whisk egg yolks and the remaining 1/2 cup sugar in a large bowl on medium speed until pale yellow and doubled in volume, about 5 minutes.
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Gently stir the almond mixture into the egg-yolk mixture with a rubber spatula.
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Add the flour mixture; gently stir until just incorporated.
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Add about 1 cup of the whites into the batter, whisk until combined.
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Gently fold the remaining whites into the batter, using long, even strokes, until just incorporated and no white streaks remain.
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Divide the batter between the prepared pans, spread it to the edges and gently rap the pans against the counter once or twice to settle the batter.
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Bake, rotating the pans halfway through, until lightly browned and a toothpick inserted into the center comes out with only a few moist crumbs attached, 18 to 20 minutes.
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Cool on a wire rack for 10 minutes, then invert the layers onto the rack, remove the pans and parchment paper, if using, and let cool completely, about 45 minutes more.
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To assemble cake:
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Place one layer, top-side down, on a serving plate; spread raspberry jam over it.
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Cover it with the second layer, top-side down.
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Sift powdered sugar over the cake.
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Decorate with fresh raspberries.