Preheat the oven to 350°F (180°C). Lightly oil a non-stick 12-cup muffin pan. If using liners, oil them too. The batter is sticky.
In a large bowl, whisk 1 cup applesauce, ½ cup Greek yogurt, 1 egg, ⅓ cup honey, and 1 tablespoon vanilla extract until smooth.
Add 1½ cup all-purpose flour, 1 cup rolled oats, 1 teaspoon cinnamon, 2½ teaspoons baking powder, ½ teaspoon baking soda, and 1 pinch salt. Stir gently with a spoon until just combined. Do not overmix.
Gently stir in ½ cup raisins. Spoon the batter into the muffin cups, filling them almost to the top.
Bake at 350°F (180°C) for about 22 minutes, until a toothpick comes out mostly clean. Let cool 5 minutes in the pan, then move to a rack to cool.
