This is a narrative from a not particularly great source (Osprey publishing) but it does give some depth on when and how the soviets became exposed to the FW 190
Osprey - Duel 39 - La-5-7 vs Fw 190, Eastern Front 1942-45 - PDF Free Download
Relevantly it states;
Perhaps more importantly, on 6 September I./JG 51 arrived on the Eastern Front with the first examples of an all new fighter type that would rival the La-5 for aerial supremacy – the Focke-Wulf Fw 190A. Like its Soviet rival, the Focke-Wulf was powered by an air-cooled radial engine of much the same horsepower in the form of the BMW 801. The new fighter was both fast and highly manoeuvrable, and was at its best at medium to low altitudes. In an effort to retain parity with the Bf 109G and Fw 190A, Lavochkin improved the reliability and performance of the Shvetsov engine, initially with the introduction of the M-82F, which gave the resulting La-5F better performance at lower altitudes thanks to its unlimited boost. Just as this variant entered service in late 1942, Lavochkin commenced flight-testing the definitive M-82FN-engined La-5FN. With direct fuel injection, the new motor was ten per cent more powerful than the standard M-82. And with most of the early structural and mechanical defects that plagued the La-5 now eradicated, the La-5FN could rival – and in some instances better – the performance of the Bf 109G-6 and Fw 190A-5 by the summer of 1943. Although the Focke-Wulf would remain a significant threat to the VVS-KA into early 1944, by then Soviet pilots had come to realise that most of the fighter units equipped with the Fw 190 had been posted back to Germany to defend its cities against daylight bomber raids being mounted by the USAAF's Eighth and Fifteenth Air Forces. Indeed, by the spring of 1944 most Fw 190-equipped Gruppen on the Eastern Front were Schlacht (ground attack) units. These machines were not flown by Experten who had amassed vast experience engaging Soviet fighters, but by ex-Ju 87 and Hs 129 pilots with only limited knowledge of aerial combat. The Focke-Wulf gradually became a less dangerous foe for Soviet fighter pilots as a result, although the Bf 109G/K remained a threat through to war's end. The VVS-KA enjoyed even greater supremacy in the air from the autumn of 1944 following the introduction of the La-7. Flight-testing of the new Lavochkin fighter at the VVS NII KA (Red Army Air Force Scientific Research Institute) showed that its performance was superior to any version of the Bf 109 or Fw 190 fielded by the Luftwaffe at the altitudes at which combat occurred on the Eastern Front. Indeed, it could be claimed that the La-7 was the best Soviet fighter in series production in May 1945.
29 September (1942) Hauptmann Heinrich Krafft, gruppenkommandeur of I./JG 51, claims an I-16 as the Fw 190's first victory on the Eastern Front.
1943 January
8 February
March
March
July
22 August
14 October
3 November
I./JG 54 flies in to Krasnogvardeisk, on the Leningrad front, having re-equipped with Fw 190A-4s. JGs 51 and 54 have around 140 Focke-Wulfs on strength between them by month-end. La-5 pilot Lt P. A. Grazhdaninov of 210th IAD's 169th IAP is credited with downing the first Fw 190 to fall in Soviet-held territory. Fw 190G ground attack variant enters service on the Eastern Front with Schlachtgeschwader 1, and the type plays a key role in the tank battle of Kursk in early July. First examples of the La-5F, fitted with M-82F 'boosted' engine, reach frontline units from Factory No. 21 in Gorkiy. First series-production standard La-5FNs reach 32nd GIAP just in time to participate in the Battle of Kursk. During the latter the regiment's pilots fly 25 missions and bring down 33 German aircraft, including 21 Fw 190s, for the loss of six La-5FNs. Future ranking Soviet ace I. N. Kozhedub of 240th IAP destroys his first Fw 190, taking his tally to nine overall. Hauptmann Walter Nowotny of I./JG 54 claims six victories (two of which are La-5s) to become the first fighter pilot to achieve 250 kills. Leutnant Emil 'Bully' Lang of 5./JG 54 claims a staggering 17 victories (including three La-5s) during the course of four missions around Kiev.
1944 1 February
September
La-7 prototype successfully completes its first flight, and the aircraft soon passes flight-testing and is cleared for series production. 63rd GIAP gives the La-7 its combat debut, 30 aircraft being assigned to the regiment on the 1st Baltic Front. 462 sorties are flown during one month and 55 enemy aircraft shot down for the loss of eight La-7s.
1945 1 January
14 February
17 April
Of the 1,331 ground attack aircraft at the Luftwaffe's disposal, 1,077 are Fw 190Fs. Oberleutnant Otto Kittel of I./JG 54 is killed attacking an Il-2. He claimed 267 victories (including 30 La-5s) with the Fw 190, making him the type's most successful pilot. Maj Ivan Kozhedub, now serving with La-7-equipped 176th GIAP, downs two Fw 190s over Berlin to take his final tally to 62 victories. At least 14 of these were Fw 190s, 11 of them being claimed between 10 February and 17 April 1945.
An airframe checklist is consulted by a foreman and an assembly line worker in Factory No. 21 at Gorkiy in late 1944 as near-complete La-7s are prepared for roll-out following construction. Factories No. 99 in Ulan-Ude and No. 391 in Moscow also built La-7s.