The Falcons waived Redfern on Tuesday, Will McFadden of the team's official site reports.
The Falcons are expected to sign Redfern to the active roster Saturday, Adam Schefter of ESPN reports.
Redfern (knee) punted four times in Saturday's preseason game against the 49ers.
Redfern (knee) signed a contract with the Cowboys on Friday, Rob Phillips of the Cowboys' official site reports.
Redfern (knee) did not receive a contract tender from the Lions, Michael Rothstein of ESPN reports.
The Lions placed Redfern (knee) on injured reserve Tuesday, the Lions' official site reports.
Redfern suffered a torn ACL, MCL and partial tear of patellar tendon, Dave Birkett of the Detroit Free Press reports.
Redfern's knee injury is believed to be serious enough that the team will look to bring in another punter this week, Dave Birkett of the Detroit Free Press reports.
Redfern (knee) won't return to Sunday's game against the Cardinals, Tim Twentyman of the Lions' official site reports.
Redfern (knee) is questionable to return to Sunday's game against the Cardinals, Mike Rothstein of ESPN.com reports.