1/2 cup (1 stick) unsalted butter, room temperature, plus more for pan (or 1/2 cup neutral oil, like canola)
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3 ounces blackberries (about a scant 3/4 cup)
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3 ounces raspberries (about a scant 3/4 cup)
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1 1/4 cups plus 2 tablespoons sugar
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1 1/2 cups all-purpose flour
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1/2 teaspoon coarse salt
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1/4 teaspoon baking powder
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2 large eggs, lightly beaten
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1/2 teaspoon pure vanilla extract
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1/2 cup Greek Yogurt, room temperature
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NOTE: I split the berry puree-batter mixes in half, using half of each for swirling into both layers of plain batter. I did this to make two cakes. Using all the berry purees in one cake is ideal, but either way is delicious!