Chicharito also had an apparent goal disallowed for offside between those second-half tallies, while the Galaxy moved even on points with the fourth-place Portland Timbers.
Portland hold the first tiebreaker with one more win in the Western Conference standings, with the top four finishers guaranteed a home game in the Audi 2021 MLS Cup Playoffs.
Franco Jara scored after assisting Jesus Ferreira's opening goal for Dallas, which was fully deserving of the 2-0 halftime lead after playing unlike a team already eliminated from postseason contention.
Ferreira was also the unfortunate player who committed the handball offense leading to Chicharito's spot-kick, a moment that shifted momentum in the Galaxy's favor and doomed the visitors to a ninth match without victory.
- THE BIG PICTURE: Even with the fightback, this may still feel like two points lost for the Galaxy given their upcoming schedule. LA have won only one of their five previous games against their upcoming opponents this season. Meanwhile, Dallas have now seen their latest winless run extended while giving back multi-goal leads in consecutive games against opposition from Los Angeles.
- MOMENT OF THE MATCH: Halftime substitutes Lletget and Samuel Grandsir connected on an excellent goal to make sure the Galaxy did not go home completely empty-handed after a frustrating evening. The volley marked just Lletget's second goal, with Grandsir picking up his fifth assist for serving in a sumptuous cross from the right.
- MAN OF THE MATCH: Sebastian Lletget. This whole game was rough around the edges, making it hard to select one player who really stood out. But the Galaxy were clearly better in possession and attack after Lletget's insertion at halftime, and his finish was a special one.