Mix together flour, sugar, baking powder, apple pie spice, baking soda and salt.
In a food processor, pulse Chobani, carrots, eggs, oil and vanilla. Mix into flour mixture, then stir in raisins.
Divide batter among a greased or paper cup-lined 12-cup muffin tin. Bake at 375°F until golden-brown, 25-28 minutes.