"It's not right that she's been separated from her family as a result of simply being here illegally", Moreno said of his client, who has been in the United States since she was 15 years old.
Morales-Luna, 36, is a single mother who came to the USA from Mexico when she was 15 years old, Moreno said.
Morales-Luna's lawyer, Andrés Moreno II, said that Morales-Luna had no history of criminal behavior, and is the single parent to three daughters who are USA citizens.
The emotional video shows the children screaming and crying as the mother is taken away.
Moreno says the single mother emphatically denies the Border Patrol's allegation that she was an organizer of a transnational smuggling network.
Officials also said Luna is in the US illegally and is expected to be deported.
With her three daughter's watching, the agents pried her grip away and shoved her into a waiting van.
The arrest was described as "grotesque" by Benjamin Prado, coordinator for the American Friends Service Committee's San Diego US-Mexico Border Program.
In a tweet, San Diego's Customs and Border Protection said: "Perla Morales-Luna was identified as an organiser for a transnational criminal smuggling organisation operating in East County, San Diego". "If there weren't uniformed agents, it would resemble a kidnapping".
The girls wail in distress and another asks: "Where is she going?" as the vehicle is driven away and they are left alone at the side of the road.
By now we know that Customs and Border Protection (CBP) and Immigration and Custom Enforcement (ICE) violently tear families apart, but we don't always see how traumatic these interactions are.
CBP officials did not respond to criticism of the way Morales-Luna was detained and did not clarify what type of smuggling she is suspected of.
The video footage provided a window into the way these arrests play out amid immigrant families, Rios said.
The videos garnered more than 10 million views in less than 24 hours and ignited a searing debate over immigration enforcement just days before President Trump is due to visit the area to look at prototypes of his planned border wall.
Her attorney says her "only" crime is being undocumented.