When the group was first founded in the early 60's, it mainly played at weddings and parties. The group name was actually named by the locals of Linares, knowing that Homero had a passion for the military (Cadetes in English translates to Cadet). After a few years, the original accordianist left the group due to personal problems. Next stepped in Samuel, who with Homero, recorded an album with the famous Texas label, Del Valle. under the name "Los Cadetes de Homero y Samuel. That album is rare in any case. Samuel then left the group a few years later. Then finally, in the early 70's, Lupe Tijerina joined Los Cadetes de Linares.
The group then became famous all across Mexico and the Southern United Stayes with their Corridos and Rancheras. Some of these famous songs include "Los Dos Amigos", "Vuelve Prenda Querida", "El Asesino" and "El Palomito"