Preheat the oven to 400° Fahrenheit (200° Celsius). Then line a 12 cup muffin tin with paper liners or grease and dust with flour.
Make the pecan crumble topping by mixing the flour, pecans, sugar, and cinnamon together in a small bowl. Now, drizzle in the maple syrup. Next, add the cold cubed vegan butter and combine it all together with a fork or your fingers until it's crumbly.
In a large bowl sift together the flour, cornstarch, baking powder, baking soda, and salt. Then add the pumpkin pie spice, brown sugar, and sugar. Now, use a whisk to mix all the dry ingredients together. Make sure the brown sugar has no lumps.
In a different medium sized bowl, whisk together the almond milk, pumpkin puree, oil, apple cider vinegar, maple syrup, and vanilla extract until nice and smooth.
Create a well in your dry ingredients. Then add the wet pumpkin mixture and fold to combine just until moistened. Do not overmix.
Divide the batter evenly into the cups of the prepared muffin pan.
Top each muffin with the pecan crumble mixture. It should be about 2 tablespoons of crumble per muffin.
Bake the muffins for 18 to 20 minutes until golden brown and a toothpick comes out clean. When done allow the muffins to cool in the tin for about 5 minutes before removing them to finish cooling on a cooling rack.
Store in an airtight container once the muffins are completely cool. They will keep for about 5 days to a week. You can also store them in a sealed bag or container in the freezer for up to 3 months.