Preheat oven to 425.
In a processor add flour, baking powder, baking soda, salt, and sugar.
Pulse to combine. Add the cold butter, process until well combined.
Add the beer and buttermilk, process until just combined.
Line a baking sheet with parchment paper. Drop about ¼ cup balls of dough onto the parchment, evenly spaced.
Bake for 10 to 12 minutes or until lightly golden brown and cooked through.
Cut the apricots in half, remove the pits. Add to a preheated grill, grilling until grill marks appear, about 3 minutes. Remove from heat, slice, add to a bowl and sprinkle with brown sugar, toss to coat.
Add the mascarpone to a bowl, beat until light and fluffy. Add the heavy cream, beat on high until soft peaks form. Add in the powdered sugar, vanilla and ginger, stir until combined.
Split the shortcakes, fill with mascarpone whipped cream and apricots.