Soviet and Russian doctrine was about the same as NATO. Indeed, it was even more focused on deep operations and combined arms.
This was worked out between Marshal Tukhachevskys crew and the German delegations in the 1920s-30s, when they were cooperating on tank design and doctrine.
That enhanced blitzkrieg doctrine was the Soviet standard throughout the Cold War. That’s what the Soviet group of forces in Germany was structured to do.
The Russian army went to an even more extreme doctrine, with combined arms and independent operation down to battalions. Those were the BTGs that entered Ukraine in 2022.
You could see them attempting to implement their doctrine. But they were too incompetent to do it. Imagine Guderian running out of gas two days after crossing the Meuse in May 1940, and German logistics failing to get him any for a week.
I see a problem when an incompetent Westerner, at best a POG type is trying to judge Russian or Ukrainian performance from the high horse.
You are not in the same league military as any of them.
And BTG worked, as contrary to the USMC doctrines employed to dislodge them. The say is that Harkov offensive was a success but they don’t say that the NATO-style “light brigades” suffered four times the casualties than the full strength of the Russian force they managed to force into withdrawal.
The Russian problem was that the BTGs relied on rebel forces for infantry as contrary to professional troops but it is not a doctrinal problem.
Ukrainians are slaughtered en-masse due to faulty NATO doctrines. If Europeans were in their place, the war would have been over long time ago by surrender to the Russians.