From an AP version of the story someone linked bellow:

  Tickets for the Moscow-Belgrade flights operated by Air Serbia, the only European carrier besides Turkish Airlines to maintain flights to Russia despite a European Union flight embargo, sold out for the next several days. The price for flights from Moscow to Istanbul or Dubai increased within minutes before jumping again, reaching as high as 9,200 euros ($9,119) for a one-way economy class fare.

https://apnews.com/article/russia-ukraine-fleeing-mobilizati...

Lots of Middle Eastern airlines. Qatar Air, Emirates, Air Arabia, Azerbaijan Airlines, all have flights out of Moscow that are still bookable according to ITA.

The important thing is that foreign airlines can fly only between Russia and their country of origin. So some AirFrance can't be making flights to Turkey, for example.

There is mutual no-fly zones and sanctions in place.

It doesn’t work at all because, well, the borders are open yet and no one in Russia ordered to prohibit selling tickets to men. This is misinformation.