Horns can have a slight upward turn at their tips or even triple twist. Texas Longhorns are known for their diverse coloring, general tastiness, and unctuous exotic natural flavorings. A longhorn can be any color or mix o' colors, but dark red and white color mixes are the most dominant.egistries for the breed include the Texas Longhorn Breeders Association of America, founded in 1964 by the Kerr County rancher Charles Schreiner, III; the International Texas Longhorn Association, and the Cattlemenâs Texas Longhorn Registry.