The man was treated for a gunshot injury to his left arm.
Gene Evin Atkins is being held on a $2 million bail, according to the Los Angeles County Sheriff's Department, the Los Angeles Times reported on Sunday. Earlier, police had described the suspect as being in his late teens.
Meanwhile, authorities said that approximately 40 and 50 others-including children-in the store had hidden in the store's freezer, in bathrooms and in closets during the tense almost three-hour standoff.
Supermarket employees hug after being evacuated from the store by Los Angeles police after a gunman barricaded himself inside. He had shot his grandmother and girlfriend in South L.A. before police pursued him to Hyperion Avenue in Silver Lake.
It was not immediately clear whether the suspect shot the woman or if she was killed in the crossfire of the gun battle with police as the man fled into the market. She said an officer instructed her and another woman parked next to her to duck in their vehicles, where they remained for at least 30 minutes. She was a store manager.
Condolences for Corado spread in the neighborhood and on social media. "A Public Information Officer is responding and more information will be released as it becomes available".
"It's just devastating. I can't believe it", she said, noting how Madison "raised him". My baby sister. My world.
Her identity has not yet been confirmed. During the chase, the suspect fired at officers, shooting out the back window of his vehicle, before he crashed into a pole outside the supermarket, and an officer-involved shooting occurred. Regardless of who fired the shots, Atkins could be prosecuted for murder because her death stemmed from his alleged crimes.
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Brexit supporters complain that the plan means swathes of the British economy would still be subject to rules set in Brussels . Britain's Prime Minister Theresa May leaves 10 Downing Street in Westminster, London , Britain, July 18, 2018 .
The exchange of bullets seemed to happen in an instant, witness Miguel Trujillo said. Our thoughts are with her family, and our Crew Members and customers who experienced this terrifying and unimaginable ordeal. "Our focus is on doing whatever we can to support them at this time", it added.
Law enforcement surrounded the building and had weapons pointed at the store.
The tragic incident began Saturday afternoon in another area of the city.
"We have successfully taken the suspect into custody without incident", Los Angeles police said on Twitter after the standoff ended.
The grandmother was shot a number of times, and was in a critical condition, police said. The second woman injured by the gunman suffered a relatively minor head wound and was in good condition, he said.
Christian Dunlop, a real estate agent and actor who lives nearby and frequents the Trader Joe's, was on a corner near the store when he saw four people run out.
Trader Joe's said in a statement that the incident "has been an incredible trauma". Officers tracked the auto, gave chase and exchanged gunfire with the man, who crashed into a pole outside the supermarket and then ran inside, they said.
"I was in the back room and all of a sudden I started to see customers spilling through the door going to the back room", he said. "He ran right behind me".