Preheat oven to 375 degrees Fahrenheit. Line a muffin tin with liners.
Whisk together the dry ingredients: both flours, baking powder, baking soda, salt and cinnamon in a large bowl. In another bowl mix together both sugars, melted butter, milk, eggs and vanilla extract. Fold in the berries.
Place 1/3 cup batter in each muffin cup. Top with Turbinado (coarse sugar) Bake for 20-25 minutes. Insert a wooden skewer in the center and if it comes out virtually crumb free then the muffins are done. Let cool a few minutes then transfer the muffins to racks to cool completely.