It was established as the tag team title for the promotion on July 7, 2013.
On February 24, 2018, four champion teams -La Revolución presenting WWC, Westside Mafia representing WWL, Los Fujitivos representing CWA and Smoke and Nightmare representing CWS- competed in a match where the team pinned would drop their titles to the winners.
[1] The Westside Mafia was not involved in the result, which saw the CWA titlists best their CWS counterparts.
[2] On February 2, 2019, incumbents Los Primos Meléndez became involved in another interpromotional storyline, when CWA World Tag Team Champions Los Fujitivos challenged them.
[3] For Todo o Nada, both sets are scheduled to be on the line in an unification match that also includes the Latin American Xchange besides the titlists.