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Combine beer, milk, butter, sugar, and salt in a sauce pan and warm over low heat
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Remove milk mixture from heat, add yeast, and set aside for 10 minutes
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Add 2 cups of the flour to the bowl of a stand mixer fitted with a dough hook
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Add milk mixture and eggs and turn mixer on low
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Gradually add the rest of the flour and let the mixer knead it for another 8 - 10 minutes, until somewhat smooth and elastic
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Turn out into a lightly floured surface and shape into a ball
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Transfer to a lightly oiled or buttered bowl, turn dough to coat, cover with plastic wrap and let rise in a warm place for about 1 hour or until doubled in size
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Punch dough down and divide in half, set aside and let rest for 10 - 15 minutes
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Roll one of the halves into a (approximate) 15 x 8 rectangle
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Brush 1/2 of the melted butter over the entire rectangle
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Combine sugar and cinnamon and sprinkle half over entire rectangle
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Roll up fairly tightly from the long side and turn so seam is on the bottom
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With a sharp knife or a piece of string slice into 15 equally sized pieces
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Transfer to buttered 9 in cake pan
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Repeat with other half of dough, butter, and cinnamon sugar
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Cover pans and let rise in a warm place for 30 - 45 minutes or until double in size
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While rolls are rising, preheat oven to 375
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Bake 20 - 25 minutes
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Combine powdered sugar and milk to make a glaze and pour over cinnamon rolls
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Serve warm or at room temperature