For the biscuits: Preheat the oven to 450 degrees F.
Add the flour, granulated sugar, baking powder and salt to the bowl of a food processor (or a large bowl). Add the butter pieces and pulse until the butter is completely cut into the flour mixture (or use a pastry cutter if using a bowl). Combine the buttermilk and vanilla in a measuring cup and while pulsing (or stirring) the dough, drizzle in the buttermilk mixture until the dough just comes together and is no longer crumbly.
Drop the mixture in 8 clumps between 2 baking sheets, then bake until golden brown, 10 to 12 minutes. Set aside and allow to cool completely.
For the berries: Wash the berries, slice the strawberries and transfer to a bowl. Sprinkle on the granulated sugar, then add the orange zest and juice. Stir gently, then set aside for 15 to 20 minutes to allow a syrup to develop.
For the sweet yogurt cream: In the bowl of an electric mixer fitted with the whisk attachment, whip the cream, yogurt, granulated sugar and brown sugar on high until stiff. (Note: It won't get quite as stiff as regular whipped cream.)
To serve, lay one biscuit on a plate, top with syrupy fruit, then top with a good spoonful of cream.