Russia's application to host the men's Euro 2028 or Euro 2032 tournaments has also been ruled ineligible by Uefa.
The sanctions are being imposed in response to Russia's ongoing invasion of Ukraine.
Fifa and Uefa suspended Russian clubs and national teams "until further notice" in February.
Uefa said on Monday that Portugal, which lost in the play-offs to Russia, will replace them at Euro 2022, which will be held in July.
Russia's women's national team will not compete in European qualifying for the 2023 World Cup, while the men's team will be excluded from the Nations League in 2022-23.
They will be relegated at the end of the group stage because they will be ranked fourth in League B's second group.
The clubs' ban implies that no Russian teams will compete in the men's and women's Champions Leagues, Europa League, or Europa Conference League in the 2022-23 season.
In March, Uefa said that Russia, along with the United Kingdom, Ireland, and Turkey, have expressed interest in hosting Euro 2028 and the 2032 edition.
Russia's interest, according to UK Prime Minister Boris Johnson, is "beyond satire" and "beyond comprehension."
According to article 16.02 of the Bid Regulations, "each bidder shall guarantee that it does not operate in a manner that may bring Uefa, any other bidder, the bidding procedure, or European football into disrepute," the bid was disqualified.
Russia is also barred from competing in the 2021-23 European Under-21 Championship, as well as youth and futsal championships, according to Uefa's latest sanctions.
A new version of the Champions League qualification process has been released, with benefits for Scottish teams.
The Premiership champions will advance directly to the group stages of the competition, while the runners-up will advance to the third round of qualifying rather than the second.
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