Preheat the oven to 425℉. Line a 12-cup standard muffin pan with paper liners, or grease with nonstick cooking spray.
In a large bowl, whisk together the 1 1/2 cups (180g) whole wheat pastry flour or all-purpose flour, 1 cup (90g) quick oats, 1 1/2 teaspoons baking powder, 1/2 teaspoon baking soda, 1/2 teaspoon salt, 1/2 teaspoon ground cinnamon, and 1/4 teaspoon ground nutmeg.
Toss the 1 cup (148g) raspberries in the flour mixture. This will keep them from sinking to the bottom while baking.
In a separate large bowl, whisk together the 1/2 cup (170g) honey or maple syrup, 1/4 cup (48g) melted coconut oil, avocado oil or another neutral oil, 1/4 cup (57g) unsweetened applesauce, 2 large eggs, 1 cup (240g) plain Greek yogurt and 1/2 teaspoon vanilla extract until thoroughly combined.
Pour the wet ingredients into the dry ingredients and stir until just combined (there may be a few dry bits or lumps, and that’s okay).
Divide the batter evenly between the muffin cups, filling each to the top. Sprinkle with the 1 tablespoon turbinado sugar.
Bake for 5 minutes at 425ºF. Reduce the temperature to 350℉ and continue baking until the muffins are lightly golden and a toothpick inserted into the center comes out clean, 15 to 17 minutes more. Cool for 5 minutes in the muffin pan before transferring the muffins to a wire rack to cool completely before serving.