This would make the situation much worse.The only way to make it possible for the Soviets to fight forward is to limit Axis mobility.Improving the already generous Axis logistics situation would either result in massive Soviet pockets or, more likely, them running away even faster.
Accelerating the German op-tempo, or more correctly the op-temp of the attacking side as this also applies to blizzard or the later Soviet advance, would dramatically unhinge the game playability. The defender already has only few rules and tools to shape a defense that doesn't just look like being the pins in bowling, and the advances of either side seem to be easier than defending.
The German advances is way too fast as it is. I guess this is pretty well accepted. Play against AI, dial it up to 119 across the board and reduce your own logistics to 50-70, and test whether you run into so serious problems that you run "aground" early due to dry supplies/fuel. Or even get stuck severely and pushed back by brutal counterattacks at certain phases. It won't happen, at least not be significant to stop you such as mud of blizzard does. But it should, even against a punching back you should -- taking usual consumption and average fighting -- at points simply have to go over to the defense of 1-4 weeks.
You can only change this by returning the Soviet units some "teeth" and more realistic reinforcements, so that a forward defense or even (desirably) brutal and relentless counterattacking does result in a better attrition rate (see the discussion of the retreat losses etc etc), and a little more success. Presently, if you do so while the German side hasn't made mistakes already and is behind the curve, you just waste your force and sell it way to cheaply to big pockets. Clausewitz would turn in his grave to waste them for (militarily) worthless ground that you even have plenty of. This could work, but still logistics would be too generous for the attacker.
If you did so, and would get typical games in which the German side is more stretched, weakened by more losses, etc. then you could finally do away with the 2:1 rule for blizzard. But also here you need to tune down logistics to get the Soviet side to focus on small sectors for counterattacks as they also did not have the means and power to do what is presently possible if you forced the German to fight for every inch without a single step back.
You'd end up with a game, without the player being forced to anything. Perfect. Use houserules to require the Soviets to fight forward, and they'll like do it automatically if it carries fruits to attrit the Germans and slow them. Besides, it is probably fun to counterattack and screw up your opponents plans more than presently the desperate retreat is. You could allow your German opponent hindsight and allow him hear the calling of the Generals, foremost Guderian, to stop the offensive with first mud, retreat and form shorter, not overextended lines. Or have a houserule that requires to also hold forward and get punished, though not as bad without the 2:1.
Guess it is all mingled, and if you touch the 2:1 rule, you have to touch upon the Soviet base proficiency/morale and their reinforcements, so manpower, APs and cost etc etc. Touch on the retreat losses and start over fine-tuning everything. That will hopefully happen for WitW and WitE2. But for now, I guess we can be pretty happy to have WitE, which actually does a really good job already compared to anything there was before on computer.