1 pound carrots, cut into 1-inch pieces
1 pound cleaned Brussels sprouts
3/4 cup chicken or veggie broth
3 tablespoons butter
1/4 cup brown sugar
1 teaspoon apple cider vinegar
1/4 teaspoon salt
1 teaspoon ground black pepper
Blanch carrots in salted water for about 4 minutes. Remove and cool. Blanch sprouts for about 5 minutes. Drain and hold separately. Refrigerate if making ahead.
Bring stock, butter, brown sugar, vinegar and salt to a boil and stir until sugar dissolves and mixture is reduced to about half. Add carrots and shake pan to coat them. Cook for about 6 minutes. Add the sprouts and pepper and cook 4 minutes more, stirring or shaking until all is coated thoroughly. Serve immediately.