Cranberry Bars

From Picky Cook.
Ingredients:
1 1/2 sticks unsalted butter, cut into 1/2-inch cubes
2 cups all-purpose flour
1/2 teaspoon salt
1 cup plus 2 tablespoons granulated sugar, divided
3 cups fresh or frozen cranberries (not thawed if frozen; 3/4 pound)
1/4 cup raspberry jam
1/4 cup water
Zest of 1 lemon
Confectioners sugar for dusting

Preheat oven to 350°F with rack in middle.
Line a 9-inch square baking pan with 2 crisscrossed sheets of parchment, leaving an overhang on 2 opposite sides, then butter the parchment.
Blend butter, flour, salt, and 1/2 cup granulated sugar in a food processor until mixture begins to clump together. Press into bottom of pan.
Bake until pale golden and sides begin to pull away from pan, 25 to 30 minutes.
While crust is baking, cook cranberries, remaining 2/3 cup granulated sugar, and water in a 2-quart heavy saucepan over medium heat, stirring occasionally, until berries burst, 6 to 8 minutes. Add the raspberry jam and the lemon zest and stir to combine.
Pour cranberry mixture through a sieve to remove the skins of cranberries and seeds. Push through sieve.
Pour cranberries over crust and bake until edge is golden, about 25 minutes.
Sift confectioners sugar over top and cool completely in pan on a rack. Lift out of pan using foil overhang and cut into 12 squares, then sift more confectioners sugar over top.