Preheat your oven to 350°F (180°C). Line a cake pan with parchment paper, or grease and flour it.
In a bowl, whisk together the flour, baking powder, and half of the sugar.
In a separate bowl, cream together the butter and the remaining sugar until light and fluffy. Add the eggs one at a time, mixing until smooth.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Pour the batter into the prepared cake pan and bake for 20-25 minutes, or until a toothpick inserted into the center comes out clean. Let cool completely.
Meanwhile, combine the plain yogurt and powdered sugar. Bloom the gelatin in a small amount of water according to package directions. Stir the bloomed gelatin into the yogurt mixture.
Whip the heavy cream to stiff peaks. Gently fold the whipped cream into the yogurt mixture.
Pour the yogurt cream over the cooled cake base and smooth the top. Arrange the fresh raspberries on top and refrigerate for at least 4 hours.
Before serving, dust with powdered sugar and garnish with extra raspberries, if desired.
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