L. kokonuko can be easily recognized by its caespitose medium-sized plants, elliptical coriaceous leaves, long loosely, flexuous and distichous inflorescences; strongly revolute lateral sepals, transversely bilobed petals with the upper lobe lanceolate (hornlike), and a bilaminate lip with the blades ovoid–lanceolate with a bipartite appendix.

Ramicauls slender, erect to suberect, stout, up to 8 cm long, enclosed by 2–6 lepanthiform sheaths, furrowed, microscopically ciliate along the margins, with a dilated ostia, acuminate.

Leaves erect, coriaceous, elliptical, acute, the apex emarginate with an abaxial apiculum in the middle, 1.5–3.5 × 1.0–1.5 cm, the base cuneate contracted into a petiole 4–6 mm long.

Lip bilaminate, the blades ovate-lanceolate with rounded ends, microscopically pubescent, 2 × 1 mm long, the connectives cuneate, the body, connate to the base of the column, the sinus broad with a bipartite appendix composed of two linear, clavate processes.

Also, in reference to the Kokonukos volcanic chain, a sacred place protected by the Puracé National Natural Park and its local communities.