Muhlenbergia rigida (Kunth) Kunth, Révis. Gramin. 1: 63. 1829 sec. Dávila & al. 2018
- ≡Podosemum rigidum Kunth, Nov. Gen. Sp. (quarto ed.) 1: 129. 1815 syn. sec. Dávila & al. 2006
- =Podosemum elegans Kunth, Nov. Gen. Sp. (quarto ed.) 1: 130. 1815 syn. sec. Dávila & al. 2006
- =Podosemum glabratum Kunth, Nov. Gen. Sp. (quarto ed.) 1: 130. 1815 syn. sec. Dávila & al. 2006
- =Muhlenbergia elegans (Kunth) Trin., Gram. Unifl. Sesquifl.: 194, t. 5, f. 19. 1824 syn. sec. Dávila & al. 2006
- =Muhlenbergia glabrata (Kunth) Trin., Gram. Unifl. Sesquifl.: 194, t. 5, f. 20. 1824 syn. sec. Dávila & al. 2006
- =Muhlenbergia rigida (Kunth) Trin., Gram. Unifl. Sesquifl.: 194. 1824 syn. sec. Dávila & al. 2006
- =Agrostis glabrata (Kunth) Spreng., Syst. Veg. 1: 262. 1825 syn. sec. Dávila & al. 2006
- =Agrostis nutans Spreng., Syst. Veg. 1: 263. 1825 syn. sec. Dávila & al. 2006
- =Agrostis quitensis Spreng., Syst. Veg. 1: 262. 1825 syn. sec. Dávila & al. 2006
- =Agrostis rigida (Kunth) Spreng., Syst. Veg. 1: 262. 1825 syn. sec. Dávila & al. 2006
- =Agrostis colorata Willd. ex Steud., Nomencl. Bot. 1: 40. 1840 syn. sec. Dávila & al. 2006
- =Muhlenbergia affinis Trin. in Mém. Acad. Imp. Sci. Saint-Pétersbourg, Sér. 6, Sci. Math., Seconde Pt. Sci. Nat. 6,4(3-4): 301. 1841 syn. sec. Dávila & al. 2006
- =Muhlenbergia berlandieri Trin. in Mém. Acad. Imp. Sci. Saint-Pétersbourg, Sér. 6, Sci. Math., Seconde Pt. Sci. Nat. 6,4(3-4): 299. 1841 syn. sec. Dávila & al. 2006
- =Muhlenbergia phragmitoides Griseb. in Abh. Königl. Ges. Wiss. Göttingen 19: 255. 1874 syn. sec. Dávila & al. 2006
- =Muhlenbergia elegans var. atroviolacea Kuntze, Revis. Gen. Pl. 3(3): 357. 1898 syn. sec. Dávila & al. 2006
- =Muhlenbergia elegans var. subviridis Kuntze, Revis. Gen. Pl. 3(3): 357. 1898 syn. sec. Dávila & al. 2006
- =Muhlenbergia metcalfei M.E. Jones in Contr. W. Bot. 14: 12. 1912 syn. sec. Dávila & al. 2006
- =Podosemum affine (Trin.) Bush in Amer. Midl. Naturalist 7(2): 40. 1921 syn. sec. Dávila & al. 2006
- =Muhlenbergia holwayorum Hitchc. in Contr. U.S. Natl. Herb. 24(8): 389. 1927 syn. sec. Dávila & al. 2006