Heat oven to 400°F. Line a 12-cup muffin pan or lightly grease it.
Whisk flour, cornmeal, both sugars, baking powder, baking soda, salt, and pumpkin pie spice in a large bowl.
In another bowl, whisk pumpkin, milk, oil, eggs, vanilla, and honey until smooth.
Pour wet ingredients into the dry mixture. Fold gently just until no dry streaks remain.
Spoon batter into muffin cups, filling each about 3/4 full.
Bake 14–17 minutes, until tops are golden and a toothpick comes out clean.
Cool in the pan 5 minutes, then move muffins to a rack to finish cooling. Serve warm.