Revamp vet 1 for the majority of the EFA factions.
Onto the tank itself:
T-34/76: Boost up its machine guns to give it more consistent AI power to make it better at guarding the support weapons and SU-76 and/or SU-85 against incoming infantry well the main gun deals with soft vehicles.
Or
Give T-34/76 tanks a bonus when fighting near each other to make them a pack tank where they are weak alone, but very effective in groups. It'd be like USF Radio Net, but the bonuses would be more noticeable. Probably limited it up to 3 tanks in terms of stacking the bonuses.
As for veterancy, if it really is a problem, I don't really notice as Vet 1 can be ignored for a ton of units, just move some of the requirements back slightly, though if it got the buffs above, it'd be dishing out more damage which means more experience.
I like where this is going. I do remember one of the Tiger voice lines when I was playing the Tiger Ace mission in Case Blue that the unit mentioned something about T-34 packs.