For the dough:
Whisk the flour, sugar, cinnamon, and salt in a large bowl until combined. Add the butter and toss with your fingers until well coated in the flour mixture. Using a pastry blender or your fingers, cut the butter into the dry ingredients until reduced to pea-size pieces.
Whisk the egg yolks and milk in a small bowl until combined. Add the egg-milk mixture to the flour mixture and mix with your hands until large clumps form. Turn the mixture out onto a work surface and knead briefly, smearing the butter into the dough with the heel of your palm until the dough completely comes together, about 1 minute.
Divide the dough into 2 equal portions and shape into 2 (6-by-5-inch) rectangles. Wrap each tightly in plastic wrap and refrigerate for at least 1 hour. Meanwhile, make the filling.
For the brown sugar–cinnamon filling:
Place all the ingredients in a small bowl and whisk until evenly combined; set aside.
To assemble the tarts:
Heat the oven to 375°F. Line a baking sheet with parchment paper; set aside.
Lightly dust a work surface with flour and roll 1 dough portion out into a rough 12-by-10-inch rectangle, rotating the dough and reflouring the surface and rolling pin often to prevent the dough from sticking. Using a pizza cutter or sharp knife, trim the dough to a 10-1/2-by-9-inch rectangle. Cut that into 6 equal rectangles (each about 3 1/2 inches wide by 4 1/2 inches tall). Using a flat spatula, transfer the rectangles to the prepared baking sheet, leaving about 2 inches of space between each. Place the baking sheet in the refrigerator.
Whisk the egg and water in a small bowl until evenly combined; set aside.
Roll out the second dough portion to the same dimensions as the first, trim, and cut into 6 rectangles. Using a fork, prick the dough all over.
Remove the baking sheet from the refrigerator and brush a thin coating of the egg wash over each dough rectangle. Divide the brown sugar–cinnamon filling among the rectangles. Spread the filling into an even layer, leaving a 3/4-inch border.
Place the pricked rectangles on top of the brown sugar–cinnamon-covered rectangles. Press on the edges to adhere, and push down gently on the filling to slightly flatten. Using a fork dipped in flour, crimp the edges of the tarts. Bake until golden brown, about 23 to 25 minutes. Transfer to a wire rack and let cool completely before glazing.
For the glaze:
Place all the ingredients in a small bowl and whisk until evenly combined. (You may need to add more milk by the 1/2 teaspoon if the glaze is too thick.)
Set the wire rack with the tarts on it over a baking sheet. Using a spoon, drizzle about 1 tablespoon of the glaze over each tart. Let set before eating, about 15 minutes.
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