The Mayas competed in the Central Division of the Liga de Fútbol Americano Profesional, the top American football league in Mexico.

As head coach of the Mayas, Alfaro won two Tazón México championships and managed to qualify for the playoffs during his three seasons in charge of the team with a 18–6 overall record.

[6] In 2019, the team again qualified for playoffs, making it to postseason for fourth time in a row, after defeating Artilleros 25–20 at the Estadio Templo del Dolor in the last game of the season.

In 2016, for the inaugural season of the LFA, all of the four founding teams (Condors, Eagles, Raptors and Mayas) played all their matches at the Estadio Jesús Martínez "Palillo", in the Magdalena Mixhuca Sports City.

Previous to the 2019 season, it was announced that the Mayas would move to the Estadio Wilfrido Massieu in the main campus of the Instituto Politécnico Nacional in northern Mexico City.