Preheat oven to 375 degrees. Add muffin liners to a standard tin and set aside.
Add brown sugar, granulated sugar, oil, eggs, sour cream, vanilla and milk to a large mixing bowl then whisk vigorously until combined.
In a separate bowl sift together flour, cinnamon, baking soda, baking powder and salt.
Add dry ingredients to wet then stir with a wooden spoon until just moistened and flour is still visible. Do not overmix.
Add diced apples then gently fold them into the batter with a spatula until evenly distributed.
Place batter in muffin liners filling 2/3 of the way. Note: do not overfill or batter will spill over the apple roses in the oven.
Tuck and roll a single apple slice then roll another slice around that one, repeating with more slices until they resemble rose petals. Gently place the finished rose into batter of one unbaked muffin then repeat until all muffins are topped with roses.
Bake for 18 minutes or until muffins are golden brown and a tester placed in the center comes out clean. Avoid overbaking.
Cool muffins in the pan for 5 minutes then remove from pan and cool to room temperature on a wire rack.
Muffins can be stored at room temperature up to 2 days in an airtight container or frozen up to 2 months.