Prepare the cake: Butter and flour a 10-cup fluted Bundt pan.
Heat the cranberries in a pot until they start to release their juices. Add 3/4 cup granulated sugar, and cook over medium heat until until juicy and the mixture reduces to 1 1/4 cups, about 15 minutes. Let cool completely.
Position a rack in the middle of the oven and preheat to 350 degrees F.
Whisk the milk, whole eggs and yolks, and vanilla in a medium bowl; set aside.
Whisk the 3 cups flour, the remaining 1 3/4 cups sugar, the lemon zest, baking powder and salt in a large bowl. Add the 3 1/4 sticks butter and beat with a mixer on low speed until moistened. Add half of the milk mixture, increase the speed to medium and beat 1 minute. Add the remaining milk mixture in two batches, beating between each addition. Scrape down the sides of the bowl and beat again, about 30 seconds.
Transfer 2/3 of the batter to the pan. Spoon the cranberry mixture in a ring around the middle of the batter (do not let it touch the pan). Top with the remaining batter and smooth evenly. Bake until a toothpick inserted into the center of the cake comes out clean, 55 to 60 minutes.
Meanwhile, make the syrup: Dissolve the 1/4 cup granulated sugar in 1/2 cup lemon juice in a saucepan over low heat. Remove the cake from the oven, poke the surface all over with a skewer and pour the syrup on top. Let cool in the pan for 10 minutes. Carefully invert the cake onto a parchment-lined rack to cool completely. Wrap tightly in plastic wrap and let sit overnight.
When ready to serve, whisk the confectioners' sugar and the remaining 2 tablespoons lemon juice until smooth. Spoon over the cake.
Photograph by Steve Giralt
This recipe has been updated and may differ from what was originally published or broadcast.