Combine 1 tablespoon sage, garlic, 1/2 teaspoon salt and pepper in a small bowl. Rub all over pork chops and let them "marinate" at room temperature about 10 minutes. Heat 2 teaspoons of the oil in a large skillet over medium high heat. Add pork chops and brown well on both sides, 1 to 2 minutes per side. Remove to a plate.
Wipe out the skillet and heat 2 teaspoons oil over medium heat. Add onion, apple and sage. Saute, stirring occasionally, until onion is softened and golden brown, about 4 to 5 minutes. Add cabbage, carrots, vinegar and salt, saute about 5 minutes. Add the broth and return pork chops to the pan, spooning some of the slaw over the chops.