After Pusha T released "My God", the first offering off his solo mixtape, former GOOD Music label-mate Consequence took to Twitter and claimed Pusha T stole his flow and lyrics from a song of his that Pusha T was supposed to appear on, titled "The Last Supper". On July 22, 2011 Consequence released a song titled "The Plagurist Society" where he takes shots and questions Pusha T’s coke-dealing raps. Towards the end of the record the Queens native promises to take aim at Kanye West next saying "You're nothing but a body shield, for that coward from the mid-west/ so yes you can bet, that your boss is next". Pusha T responded to the diss when he appeared on Chicago’s 107.5 WGCI’s The Morning Riot and said nobody is looking for Consequence, as for if he will respond on a record he went on to say "At the end of the day I am an artist and this whole rap thing is fun to me, so I can't say you won't hear nothing, but to go back and forth with him, it's not right, I won't get anything out of it." Later that day, Consequence called in to Chicago’s WGCI’s The Morning Riot in retaliation to the remarks Pusha T made about him. He also premiered a song titled "Everybody Told Me 2 (Straighten It Out)" where he disses West, Pusha T and GOOD Music in general. Since then Pusha T has responded to Consequence on a record. The song was the remix to Ace Hood's "Go 'N' Get It" which also featured Beanie Sigel, Busta Rhymes and Styles P. In the song Pusha raps "Consequence, nigga, talk is cheap You don't want a problem? Off the beef Before I off his ass with his awful teeth". On August 19, Consequence released Movies on Demand 3 and continued to diss his former label and Pusha T on songs such as "Career Killer" and "Mr.RapFix (Hot Water)". On September 15, 2011 Consequence appeared on MTV's Rap Fix and announced his feud with Kanye West and GOOD Music was over. While out in Chicago in October 2011, Pusha T appeared on WGCI radio for a second time, and confirmed that the "beef" was indeed over, that it had died out and they have moved on. In January 2015, the two officially ended the feud when Consequence took to his Instagram page to let the people know: "All G.O.O.D. in 2015, Pusha [T] and I deaded everything and we creatively vibed with Kanye for this new LP."
On the 13th of March 2013 Consequence assaulted fellow rapper and reality TV show actor Joe Budden during their Love & Hip Hop TV show reunion. Consequence reportedly assaulted Budden by sneaking behind him and hitting him from behind and then running away after being immediately struck back by Budden's ex-girlfriend who was also present. Budden immediately spoke on Angie Martinez radio show about the incident and stated he would retaliate to the incident. After the reunion ended, Budden reportedly assaulted Consequence in retaliation outside of the venue. The event was captured on cell phone footage.