Preheat oven to 400°F. Spray a baking sheet with nonstick spray.
Put the flours, sugar, baking powder, baking soda and salt in the bowl of a food processor or into a medium mixing bowl and pulse or stir until well blended. Add the butter and oil and pulse or stir with a wire whisk or fork until crumbly. If you’re using a food processor, transfer the mixture to a medium bowl.
Add the milk and berries and stir gently just until the dough is combined.
Pat the dough into a circle that is about 1” thick and 8”-9” in diameter on the cookie sheet. (If they are sweet and you want a brown, crunchy top, brush them with a little milk and sprinkle with sugar.) Cut the circle into 8 wedges with a knife or pastry cutter and separate them on the sheet so that they are at least an inch apart.
Bake for about 20 minutes, until golden. Serve warm. Wrap well and freeze any you don’t eat the same day.