Almost nothing about the war made for Western mainstream media consumption is true.
Russia's cruise missile and artillery production exceeds the US's now. But the Western media is probably telling you that it is going through old stocks from the Soviet era. With missiles that weren't in service in the Soviet era. Yeah..makes sense
RUSI is one of the oldest UK military think tanks. They wrote a piece on this topic
The expenditure of cruise missiles and theatre ballistic missiles is just as massive. The Russians have fired between 1,100 and 2,100 missiles. The US currently purchases 110 PRISM, 500 JASSM and 60 Tomahawk cruise missiles annually, meaning that in three months of combat, Russia has burned through four times the US annual missile production. The Russian rate of production can only be estimated. Russia started missile production in 2015 in limited initial runs, and even in 2016 the production runs were estimated at 47 missiles. This means that it had only five to six years of full-scale production.
The initial stockpile in February 2022 is unknown, but considering expenditures and the requirement to hold substantial stockpiles back in case of war with NATO, it is unlikely that the Russians are worried. In fact, they seem to have enough to expend operational-level cruise missiles on tactical targets. The assumption that there are 4,000 cruise and ballistic missiles in the Russian inventory is not unreasonable. This production will probably increase despite Western sanctions. In April, ODK Saturn, which makes Kalibr missile motors, announced an additional 500 job openings. This suggests that even in this field, the West only has parity with Russia.
The Return of Industrial Warfare | Royal United Services Institute