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Line a 12 cup muffin pan with muffin liners and preheat the oven to 350 degrees F.
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In a bowl, combine the brown sugar, granulated sugar, and cinnamon, then whisk until evenly mixed.
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After resting, roll the dough out on a lightly floured surface into a 20x10-inch rectangle. Tip: flour your rolling pin to avoid it from sticking.
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Spread the softened butter evenly over the dough, leaving a ½-inch border. Sprinkle the cinnamon-sugar mixture over the top, then gently press it into the dough to help it adhere.
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Using a ruler or visually estimating, lightly score the top of the dough every 1.5 inches to help guide the cuts and maintain uniformity. Use a pizza cutter to make clean, straight cuts through the dough. You will end up with 12 muffins.
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Individually roll each cinnamon roll and place them into the muffin pan.
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Bake the sourdough discard cinnamon roll muffins for 23-25 minutes or until the internal temperature is 190-200 degrees F.
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Allow the muffins to rest for 10-15 minutes before removing from the pan. While they rest, make the cream cheese frosting.