[2] The football team's association leads to the nickname of La Máquina Cementera or the cement locomotive.

Cooperativa La Cruz Azul has faced stiff competition from Mexico's other leading cement producer, Cemex, a company which has gone on to set foot on other countries, such as Puerto Rico (Cemex Puerto Rico),[3] the United States and the United Kingdom.

In 1881, Englishman Henry Gibbon rented a portion of the old Hacienda City of Jasso, Hidalgo, and installed a hydraulic lime factory.

[4][5] Despite the efficient mining of the rich deposits of limestone minerals from the Hidalgo region, the business practically did not develop due to lack of capital and was bankrupt by 1906.

[6] On 27 July 2021, a video surfaced where some 30 people are seen illegally entering the Cruz Azul Oaxaca plant and shooting the place.