Preheat oven to 350°. Grease and flour bundt pan. Combine cake mix, pudding mix, eggs, vegetable oil and 1 cup Bailey's Irish Cream in large bowl. Beat for 4 minutes on high speed. Pour into pan. Bake 45 to 55 minutes, or until inserted toothpick comes out clean. Cool and invert on plate.

To make icing: Beat confectioners' sugar, soft butter, milk and 2 tablespoons Irish Cream in small bowl until fluffy. Alternatively, can use 1/4 cup Bailey's plus 2 tablespoons milk for frosting.