The Russia's justice ministry said Muratov, who sold his Nobel medal at auction to help Ukrainian child refugees, had "created and disseminated material (produced by) foreign agents.
The government rejected protests by some Danish opposition parties that said banning Quran burnings would infringe on free speech.
There is a misconception lying at the heart of the issue that is perhaps at the root cause of the problem, namely, that text desecration is “expression.”
The police believe the antisemitic rice bag incident was the work of the neo-Nazi extremist group the Goyim Defense League.
The continuous repetition of insults against the Quran in Denmark and Sweden needs to end, and the authorities in both countries must confront these violations firmly and decisively.
"We can see how Russia-backed actors are amplifying incorrect statements such as that the Swedish state is behind the desecration of holy scriptures," Carl-Oskar Bohlin said.
Reddit could be fined up to 4 million roubles ($43,895) for failing to remove "knowingly false information" about the Soviet Union's actions during World War Two.
While Western states voice concerns about freedom of speech, the Organization of Islamic Cooperation is expected to bring its considerable influence in the UN to bear on the issue.
The Swedish government is considering whether to make burning the Quran and other holy books illegal following outrage over a recent Quran burning that took place in Stockholm.
The Biden administration filed a notice with the New Orleans-based 5th US Circuit Court of Appeals saying it was appealing the ruling.