The two teammates used an identical sequence of tweets questioning the league.
"Your statement said nothing," they said in one of their posts. "Your league is built on black athletes. Vague answers do nothing. Let the players know what you're actually doing."
Goodell issued a statement last Saturday extending condolences to affected families on behalf of the league and said it remains committed to serving as an agent for social change. "There remains an urgent need for action," the commissioner said.
Barr and Kendricks said the Vikings have contacted their players seeking to find solutions for the situation within the organization.
Houston Texans wide receiver Kenny Stills also disapproved the NFL's statement.
"Save the b-------," Stills said.