Milling dry extracts containing cocoa polyphenols (CPs) to reduce the particle size improves the flavor of edible products (e.g., foods, medical foods, nutritional supplements, and pharmaceuticals) or additives containing the milled cocoa extracts. The products, e.g., chocolates, are less astringent and less bitter. The mean particle size after milling is less than about 15 microns, preferably less than about 10 microns, and most preferably less than about 5 microns. The total CP content of the milled extracts is at least about 300 milligrams and preferably about 300 to about 700 milligrams per gram of milled extract. The additives consist essentially of (i) the milled high CP cocoa extract and (ii) a fat (e.g., cocoa butter), an oil (e.g., vegetable oil), or a syrup (e.g., corn syrup).