Rodri's late equaliser extended Manchester City's year-long unbeaten record at home but a 1-1 draw against Chelsea on Saturday handed Liverpool and Arsenal a huge boost in the Premier League title race.
Goals by Rodri and Julian Alvarez in each half barely did justice to City's dominance as they enjoyed 84% possession in a routine win that at times resembled a training session.
Haaland drove a first half spot-kick against the post before his header put City in front after the break at Bramall Lane
Spain midfielder Rodri was named the UEFA Nations League's Player of the Tournament after his side edged Croatia 5-4 in a penalty shootout at the Feyenoord Stadium on Sunday.
Rodri stepped up for Manchester City when their star attackers failed to deliver in the Champions League final on Saturday, capping a memorable season for the Spain midfielder by scoring the goal which made his team kings of Europe.
Manchester City's Rodri says he is playing his best soccer as his team bids to claim a historic treble when the Premier League champions face Inter Milan in Saturday's Champions League final.