The 24-year-old Brit said: "Any way we do dis you gon' come up short (sic)."
Mars responded: "That Cut deep..U always know how to sheer me to the core. I can't believe we're Sheeran this in public. How dare u! (sic)."
The spat between Swift and Minaj - which inspired Mars and Sheeran's social media prank - erupted after the hip-hop star bemoaned being nominated for just three VMA awards, with her Feeling Myself promo missing out entirely and Anaconda being overlooked for the top prize, Video of the Year.
Nicki tweeted: "Hey guys @MTV thank you for my nominations. Did Feeling Myself miss the deadline or...?
"If I was a different 'kind' of artist, Anaconda would be nominated for best choreo and vid of the year as well.
"When the 'other' girls drop a video that breaks records and impacts culture they get that nomination.
"If your video celebrates women with very slim bodies, you will be nominated for vid of the year.
"I'm not always confident. Just tired. Black women influence pop culture so much but are rarely rewarded for it (sic)."
Swift - who received nine nominations in total, including for Video of the Year and Best Female - felt the tweets were aimed at her due to her Bad Blood promo being up for Video of the Year and replied: "I've done nothing but love & support you. It's unlike you to pit women against each other. Maybe one of the men took your slot."
However, the duo have since reconciled their differences and Taylor has even invited Nicki to join her on stage at the VMAs.
- Bang! Showbiz