Zenit St Petersburg forward Kokorin and Krasnodar midfielder Mamaev could face jail over the attacks, which were captured on CCTV on Oct. 8.
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Sweden's Victor Lindelof and Marcus Berg secured a 2-0 win over Russia on Tuesday and promotion from Nations League B Group 2.
A new-look Germany comfortably beat Russia 3-0 in a friendly on Thursday with all the goals coming in the first half.
Alexander Bortnikov, the head of Russia's Federal Security Service, said officers "took measures to detect and foil attempts by terrorists."
Russia, surprise quarterfinalists at this year's World Cup, lead Group 2 with seven points.
A Moscow court ordered the arrest of Russia internationals Alexander Kokorin and Pavel Mamayev late on Thursday.
Sweden goalkeeper Robin Olsen pulled off a world-class save to help hold Russia to a 0-0 draw in their Nations League B, Group 2 clash on Thursday.
The attacks, allegedly perpetrated by Zenit St Petersburg forward Kokorin and Krasnodar midfielder Mamaev on Monday, were captured on CCTV.
Zenit Saint Petersburg have strongly condemned Aleksandr Kokorin following an alleged attack on a government official in a Moscow cafe.
Akinfeev earned 112 caps for his country since his debut in 2004 as an 18-year-old, according to the Russian Football Union.
One of the 2018 World Cup final pitch invaders is in hospital, members of his protest group have claimed while suggesting he may have been poisoned.
Cheryshev, who scored four goals in Russia's surprise run to the World Cup quarterfinals, has denied ever taking a banned substance.
Denis Cheryshev, who starred for Russia as they reached the World Cup quarterfinals, has denied taking a banned substance.
Russia coach Stanislav Cherchesov has rested his goalkeeper for the team's first matches since reaching the World Cup quarterfinals.
Russia World Cup star Denis Cheryshev will join Valencia on loan from Villarreal for the 2018-19 season.
Former goalkeeper Cherchesov was thanked by the Russian Football Federation for securing the country's best World Cup finish of the Soviet era.
Russian President Vladimir Putin said on Friday that the country's 12 World Cup venues should be mainly used for football, and not transformed.
The World Cup made a star out of Kylian Mbappe but what about the under-the-radar talents hoping to impress in Russia? We pick out three that did.