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Using an electric mixer, combine butter, cream cheese and brown sugar until creamy and smooth.
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Add eggs and vanilla. Mix until thoroughly combined.
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Slowly add flour and baking powder. Until dough is soft like play dough. If dough is sticky, add a bit of flour. If it's crumbly or too dry, add a little bit of water or milk.
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Roll dough between 2 sheets of parchment paper into a rectangular shape, about 1/4-inch thickness.
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Before adding cinnamon-sugar mixture, test to see if dough rolls into a log easily. Slowly roll dough a few times. If dough rolls easily, unroll it back to the rectangular shape. To troubleshoot issues forming a log, reference notes below.
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If dough rolls easily, make cinnamon-sugar filling, brush melted butter over rectangular-shaped dough and sprinkle cinnamon-sugar mixture over dough.
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Slowly roll dough into tight log, wrap with plastic wrap and refrigerate 1 hour or freeze 20 minutes.
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Once chilled, cut dough into 1-inch thick cookies and add to cookie sheet.
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Bake at 350 degrees F for 10 minutes or until cookies are almost done. Cool on a wire rack.
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Meanwhile, make cream cheese icing. Using a hand mixer, mix cream cheese, powdered sugar, vanilla and milk until creamy. Add more milk to make the icing thinner.
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Spread cream cheese icing over cookies before serving.
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Store in an air-tight container for up to 5 days.