[9] On the August 24 episode of Impact!, LAX would defeat Styles and Daniels in a Border Brawl to win the NWA World Tag Team Championship.

LAX regained the title in a Six Sides of Steel match at Bound for Glory, after Homicide performed Da Gringo Killa on Styles, while Konnan strangled Daniels with a coathanger from outside the cage.

During the November 16 episode of Impact!, LAX nearly burned the American flag, as they promised one week earlier, but were stopped by Petey Williams.

[13] After stealing a victory over America's Most Wanted at Genesis Konnan told Homicide to use Da Gringo Killa on Gail Kim.

Despite the then-recently increased recognition of good and bad guy characters by the TNA audience and the rising extremism at the time of the "anti-American" actions of the LAX, the decision to forcibly remove the titles from the legitimate tag team champions actually infuriated the fans in the arena and stirred up some unsavory chants directed at Cornette.

LAX refused to return the belts, hired a lawyer, and (kayfabe) threatened to sue TNA for violating their First Amendment rights.

Angle and Joe both proceeded to apply their respective submission holds and made both Homicide and Hernandez tap, thus apparently winning the NWA World Tag Team Championships.

[17] They had another victory over America's Most Wanted on December 14 in a "Titles vs. Career" match after James Storm deliberately hit Chris Harris with a beer bottle.

At Final Resolution, LAX retained their tag championship by disqualification against Team 3D, when an apparently drunk Brother Runt came out and jumped off the top rope with a headbutt on Homicide.

[31] On the edition of July 26, 2007 of Impact!, LAX became heroes by attacking the Voodoo Kin Mafia for disgracing the Puerto Rican flag.

[33] At the following pay-per-view, Bound for Glory, LAX defeated Elix Skipper and Senshi in an Ultimate X Match to become number one contender to the TNA World Tag Team Championship.

[37] On the May 11 pay-per-view Sacrifice, LAX won the vacant TNA Tag Title after defeating Team 3D in the "Deuces Wild" tournament final with help from Guerrero.

After defeating 3D to retain the tag straps, they would find themselves in a feud with Beer Money, Inc. (James Storm, Robert Roode and their manager, Jacqueline).

Beer Money whipped all four members of LAX with belts, resulting in a Fans' Revenge match being booked for the tag titles at Victory Road.

[39] After defeating Beer Money, Inc. at Victory Road, LAX fought them once again for the TNA World Tag Team Championships at Hard Justice this time in a regular two-on-two match.

Homicide, Hernandez and Guerrero fought Roode, Storm and Jacqueline in a six-person "Loser's manager leaves town" match.

On October 24 in Danbury, Connecticut LAX defeated the ROH World Tag Team Champions Kevin Steen and El Generico, The Age of the Fall (Jimmy Jacobs and Tyler Black) and Chris Hero and Davey Richards in a 30-minute Iron Man match.

The Latin American Xchange debuted in the International Wrestling Association (IWA-PR) on Histeria Boricua, a special event that took place on January 6, 2009.

[47] The contest was won by Los Dueños de la Malicia, with Rodríguez pinning Homicide following a distraction on the outside of the ring.

there were signs of reconciliation between the former members of LAX as Homicide came out to check on Hernandez, as he was being helped by medics after he had been laid out by his new World Tag Team Championship partner Matt Morgan.

The same night, LAX and The Strong Style Thugs (B-Boy and Low Ki) wrestled against BLKOUT (Eddie Kingston, Joker, Ruckus, Sabian and Slyk Wagner Brown) for both titles.

LAX won an Iron Team including at El Generico and Kevin Steen and Sweet 'n' Sour Inc. (Chris Hero and Davey Richards) and The Age Of The Fall (Jimmy Jacobs and Tyler Black), with 2-0-1-1.

LAX defeated Anthony Nese and Ricky Reyes in the first round and Fire Ant and Jigsaw in the semi-finals, before losing to The Young Bucks (Matt and Nick Jackson) in the finals.

[56] On September 6, the Chikara promotion announced that LAX, represented by Hernandez, Homicide and new member Chavo Guerrero Jr., would be taking part in the 2014 King of Trios tournament.

LAX attacked Decay, Laredo Kid, Garza Jr., and Reno Scum inserting themselves in the Impact World Tag Team Championship picture and winning them the following week, establishing themselves as heels in the process.

On the April 23 episode of Impact Wrestling, LAX defeated Veterans of War (Mayweather and Wilcox) in a tournament finals to win the GFW Tag Team Championship.

After the group leader Konnan was attacked, and Homicide and Diamante went missing in action, King assumed leadership of the faction and guided Ortiz and Santana back to being tag team champions.

On January 12, 2019, The Lucha Bros (Pentagón Jr. and Rey Fénix) defeated LAX during the TV Tapings in Mexico to win the Impact World Tag Team Championship.

[62] On the August 9 edition of Impact, Daga became the newest member of LAX, teaming with Ortiz in a losing effort to Page and Alexander.

On July 10, 2021, Konnan introduced LAX 5150 at Major League Wrestling's Battle Riot III event, which debuted with a win over Jordan Oliver and Myron Reed.