The Moskva has been there for quite awhile now. Since May.
Sorry, Darth, the Moskva is a newer development,. The original Med Squadron the Russians created earlier this year for a permanent squadron in the Med included a Udaloy class DDG, two frigates, a supply vessel, and two Amphibious vessels. Another Udaloy and the Moskva recently were dispatched as a result of this crisis specifically.
The Moskva coming from a deployment in the Atlantic and the other Udaloy from the Black Sea.
Disagreements aside, the Pacific fleet is out on maneuvers and there are rumours they could be coming...but they would have to pass the US carrier groups in the Arabian Sea, and would take 10-14 days to arrive. the Kuznetsov is due to deploy to the Med in December.