Beckham followed his initial tweet with a screenshot showing Cowherd exuding a noticeably different tone when the two communicated directly.
The texts took place following the trade that sent Beckham from New York to Cleveland.
Beckham ascended to superstar status with the Giants, but his off-field antics rubbed some the wrong way, and motivated New York to move him.
The Browns are expecting big things from Beckham, who posted 1,052 receiving yards in just 12 games last year. Cleveland hasn't reached the postseason since 2002.