Sift together flour, baking powder, baking soda, and salt. Set aside.
In food processor, combine butter and sugar. Then add egg, mandarin oranges, raisins, and orange juice. Process quickly together.
Add wet ingredients to dry ones, and mix with a spatula. Grease muffin tins and fill with ⅓ cup batter for each muffin. Bake at 400 degrees F 14 to 15 minutes.