The report said the pair were sent monkey emojis on their Instagram pages after the game.
Sterling was also targeted following City’s semi-final win over Paris St Germain, shortly after English soccer’s social media boycott campaign came to an end earlier this month.
Reuters has contacted Facebook, which owns Instagram, seeking comment.
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Several players at Premier League clubs have been targeted in the past few months, including United’s Anthony Martial, Liverpool’s Trent-Alexander Arnold and Sadio Mane and Chelsea’s Reece James.
Manchester United forward Marcus Rashford said that he had been subjected to “at least 70 racial slurs” on social media after Wednesday’s defeat by Villarreal in the Europa League final.
In February, English football bodies sent an open letter to Facebook and Twitter, urging blocking and swift takedowns of offensive posts, as well as an improved verification process for users.
sures and Twitter vowed to smoke them out.