Police responded to the Wonderland Liquor Store in the 2000 block of Pennsylvania Avenue just after midnight May 3.
Investigators say Daryl Doles, 50, attacked the women while they were closing up the shop.
After the attack, he ran away, but police were able to catch up with him later.
According to police, the women’s injuries are not life threatening.
On Tuesday, Gov. Larry Hogan, (R)-Maryland, reacted to the vicious attack, saying he had seen the video before it made news because of a family connection to the victims.
"I saw it before it hit the news. My daughter shared it with me from her friend. I was outraged. It's just another example of this violent outburst and attacks on Asians all across the country," Hogan said.
"We're going to get to the bottom of this. We already have the state police working in junction with the city to investigate. I've already talked to Rob Hur who's setting up our hate crimes task force, former U.S. Attorney. I'm sure we're going to hear more about this," he continued.
Police have not revealed a motive, and so far, Doles is not charged with a hate crime.
Doles was charged with two counts of aggravated assault.