The lawsuit, filed at a US District Court in Missouri, also lists Carlsen's online chess platform Play Magnus, Chess.com executive Danny Rensch and American Grandmaster Hikaru Nakamura as defendants.
Carlsen, 31, withdrew from the Sinquefield Cup in St Louis, Missouri, earlier this month after losing to the 19-year-old, who lags him by almost 200 Elo points.
The international chess body also rebuked the world champion for abruptly resigning an online game recently.
Carlsen finished with 16 points to the Indian prodigy's tally of 15.
Though the five-time world champion and legendary Viswanathan Anand has chosen not to play and donned the mentor's hat this time, the Indian teams, nonetheless, wear a formidable look.
The Norwegian World No 1 has announced that he doesn't have much to gain from playing in the championship match.
Anand finished with 14.5 points behind world champion Magnus Carlsen (16.5) and Shakhriyar Mamedyarov of Azerbaijan (15.5).
After defeating the Norwegian superstar in the Blitz event that preceded the Classical section, Anand claimed the victory in a thrilling Armageddon (sudden death game) after the regular match ended in a 40-move draw.
The 44th Chess Olympiad, which was supposed to take place in Moscow, was shifted out of Russia in the aftermath of its invasion of Ukraine.
Kamal Haasan is the latest to congratulate Praggnanandhaa, who has come in for praise from different quarters.