^^
The Soviets achieved air supremacy in 1943. Even in citadel, the concentrated LW only achieved air parity in that sector. The failure of Barbarossa, Blau, Stalingrad, and the Air war in the west reduced LW presence dramatically.
Even as early as the winter of 1941, the Soviets were already making making cuts for their ambitions for their anti-aircraft defense system, as the LW was not that much of a threat unless it was massed in a 'schwerpunkt', the specialty of LW-4 under von Richthofen.
Stalin and STAVKA also believed that the German was finished, and they actually underestimated the abilities of the axis which lend to some operational blunders in the winter-spring of 1942.
I was under the impression that the Soviets compensated for that with a lot of close air support, especially as the war progressed.
That, but tactical air support with the help of air force liaison personnel was not enough and not reliable enough. The key thing was the 'forward detachment', which was a combined armed battlegroup that resembled German Kampfgruppe or US Combat Command in design and deployment.
The Forward detachment was the exploitation weapon of their Tank armies, and generally had the concentrated armor, communications , and mechanized assets that the richer western armies had but on a much smaller scale (brigade sized). The tank corps and the mech. corps were overall formidable, but comparably blunter weapons- lots of tanks, too little mobile infantry and support assets.