Fruits and vegetables contain antioxidants, which promote kidney and liver health. Your kidneys and liver are responsible for a variety of functions, but both organs work as as filters that remove toxins and waste products from your body.Diets high in preservatives, chemicals, toxins, refined sugar, hydrogenated fats or protein can damage your kidneys and liver, leading to dysfunction and disease.roduce rich in these potent nutrients include citrus fruits, most berries, dark-colored grapes, apples, tomatoes, carrots, broccoli, spinach and asparagus, the “American Dietetic Association Complete Food and Nutrition Guide” notes.