Matucana paucicostata F.Ritter in Taxon 12: 124. 1963 sec. Hunt 2016
- ≡Submatucana paucicostata (F.Ritter) Backeb., Descr. Cact. Nov. 3: 14. 1963 syn. sec. TROPICOS 1988+
- ≡Borzicactus paucicostatus (F.Ritter) Donald in Natl. Cact. Succ. J. 26: 10. 1971 syn. sec. Hunt 2016
- =Borzicactus paucicostatus f. robustispinus Donald & A.B.Lau in Natl. Cact. Succ. J. 26: 71. 1971 syn. sec. Kew WCVP (2019)