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Preheat your oven to 425 degrees F and spray your muffin pan with nonstick oil. Alternatively, you can line the pan with muffin liners.
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Whisk together the sugar and cinnamon for the topping and sprinkle a little into each muffin tin.
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Warm the milk and butter on the stove on low heat until the butter melts and set aside to cool for a few minutes.
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Then, add the mixture to a mixing bowl and stir in the oil, sugar, maple syrup, sour cream or Greek yogurt, eggs, vanilla extract, and sourdough discard until combined.
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In a separate bowl, whisk together the flour, baking powder, baking soda, salt, and cinnamon.
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Gradually add the dry mixture to the wet mixture until everything is combined. Be careful not to overmix here, it's okay if there are a few clumps.
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Using a portion scoop or 1/3rd cup measuring cup fill the muffin cups about ¾ full. Sprinkle some more cinnamon sugar mixture over top of each muffin. There will be some leftover for topping after they bake.
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Bake the maple snickerdoodle sourdough muffins at 425°F (218°C) for 5 minutes. Without opening the oven, reduce the temperature to 350°F (177°C) and continue baking for another 12-15 minutes, or until a toothpick inserted in the center comes out clean.
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Allow the muffins to cool in the pan for 5 minutes, then transfer them to a wire rack to cool completely.
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Melt the butter, brush it over each muffin, then generously coat by dipping or sprinkling with the cinnamon-sugar mixture.
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Keep muffins in an airtight container at room temperature for up to 3 days. For longer storage, refrigerate for up to 5 days or freeze for up to 2 months. Thaw at room temperature and warm slightly before serving.