Souza labeled the Instagram post: “Respect for women.”
Souza also shared the photo on Twitter, a few hours after Trump unleashed a couple of tweets about Brzezinski and her co-host, Joe Scarborough. Trump called Brzezinski "low I.Q. Crazy Mika" and claimed she had a facelift.
Trump's tweets came just three weeks after members of Congress called for civility, restraint and cooperation following a shooting rampage that injured five during a baseball practice in Alexandria, Va. Several lawmakers have taken to Twitter to rebuke Trump for his tweets, which many called sexist and unbecoming of the president of the United States.
Souza, who has said his "political leanings are Democratic," has previously trolled Trump by sharing photos that appear to show the men's stark differences.
A look at President Trump’s first six months in office
For example, he shared a picture of Obama clasping the left hand of his wife, Michelle Obama, as the two listened to a speech in Selma, Ala. The short caption, "holding hands," appears to be a slight at what Trump and first lady Melania Trump had just done — or not done, The Washington Post's Amy B. Wang wrote.
Souza's photo followed a pair of viral video clips of the president and the first lady during their trip to the Middle East last month. One shows Melania Trump appearing to swat away her husband's hand after they arrived in Tel Aviv. In the other, she appears to avoid holding the president's hand after they landed in Rome.
Last May, after The Post broke the news about Trump revealing highly classified information to Russian officials, Souza posted a photo of a folder marked “CLASSIFIED” on his former boss's desk. The caption: “Organized paperwork on the Resolute Desk, 2009.”
The subtext, wrote The Post's Emily Heil: Obama knew how to handle sensitive information.
Avi Selk and Amy B. Wang contributed to this story.