To make brown sugar mixture: Combine light and dark brown sugar until well combined - makes 1 3/4 cup. To make glaze:In the bowl of an electric mixer fitted with the paddle attachment, mix together butter, Brown Sugar Mixture, and salt until smooth and slightly increased in volume; do not overbeat. Transfer to a disposable pastry bag; snip end before using. In a small bowl, mix together yeast and warm water; set aside. In the bowl of an electric mixer fitted with the paddle attachment, cream together 11 tablespoons butter and granulated sugar on medium speed, scraping down sides of bowl with a spatula, as necessary. Add egg yolks, one at a time, mixing well after each addition and scraping down sides of bowl with a spatula as necessary. Add vinegar, salt, and vanilla; mix to combine. Slowly add sour cream, mixing until well combined. Add yeast mixture and continue to mix, scraping down the sides of bowl with a spatula as necessary. In a large bowl, whisk together both flours. Add to mixer and mix on low until well combined and dough begins to pull away from the sides of the bowl and just begins to form a ball. Turn dough out onto a lightly floured work surface. Knead dough until smooth, about 5 minutes. Lightly flour the bottom of a large glass bowl; place dough in bowl and cover with a clean damp kitchen towel. Cover bowl tightly with plastic wrap; let stand until doubled in size, about 5 hours or refrigerated overnight. Preheat oven to 100 degrees with racks in upper and lower thirds. If dough has been refrigerated, remove from refrigerator and let stand until it comes to room temperature. Place raisins in a small bowl and add enough hot water to cover. Let stand for 5 minutes and drain. Set out four 12-cup or two 24-cup nonstick mini-muffin pans. Lightly butter the top of the pan (in between each muffin cup). Place about 1 teaspoon Glaze inside each muffin cup and sprinkle each with 4 to 5 pecan pieces, pressing into glaze; set aside. Lightly flour a work surface. Punch down dough and turn out onto work surface; knead until smooth, about 2 minutes. Shape dough into a rectangular shape with one of the long sides facing you. Roll out dough into a 48-by-4-inch rectangle; brush off excess flour. Melt remaining tablespoon plus 1 1/2 teaspoons butter, and brush evenly over dough. Sprinkle dough evenly with Brown Sugar Mixture, leaving a narrow strip of unsugared dough on the edge closest to you. Top sugar with raisins and sprinkle dough evenly with cinnamon. Using a rolling pin, press filling evenly into dough. Beginning with the long side facing you, tightly roll dough away from you into a log; cut dough crosswise into 48 pieces. Place each piece into a prepared muffin cup, tucking the loose end under the center. Place a roasting pan on the bottom of oven and fill with boiling water. Divide muffin tins between 2 baking sheets and transfer to oven. Let dough rise for 30 minutes. Remove sticky buns and roasting pan from oven. Increase oven temperature to 375 degrees. Line 2 baking sheets with parchment paper and set aside. Transfer sticky buns to oven and bake for 11 minutes. Using a long, narrow spatula, tap down on the top of each sticky bun and tuck any loose ends back into muffin cups. Continue baking until golden brown, 14 to 17 minutes more. Remove from oven and let stand 1 minute. Turn out sticky buns onto parchment paper-lined baking sheets, lifting pan straight up to remove. Let cool slightly before serving.