In large bowl, stir together butter, sugars, egg and 1 teaspoon vanilla. Stir in flour and baking powder. (If dough is soft, cover and refrigerate at least 1 hour.)
Heat oven to 350°F. Divide dough into 8 equal parts. On ungreased cookie sheet, roll each part into 8-inch rope; press down until 1 1/2 inches wide. Make indentation down center of each with handle of wooden spoon. Fill with 1 measuring tablespoon jam. Bake 10 to 12 minutes or until edges are light brown; cool 2 minutes.
Stir together glaze ingredients until smooth and thin enough to drizzle. Drizzle over strips. Cut diagonally into 1-inch pieces.