OKW often means Volks spam at the moment. They will wreck your armor pretty quickly with Schrecks, so I would advise you to go for an infantry-heavy strategy. This is also good because OKW doesn't have a stock MG, their only non-doctrinal suppression platform is the Flak HT, which is not great.
Against Ostheer, it's a little different, they're less spammy, but LMG Grens are still good and they have some of the best support weapons. But that also makes them a fairly static faction, so indirect fire can be pretty strong against them.
Here's a very, very basic (and fairly safe) build order that has often worked pretty well for me. I don't play on a high level at all, though, so this is certainly not the holy grail of Soviet strategies
Build T2 right at the beginning. Get a squad of Cons first, then a Maxim. Send those straight to the fuel point you want to focus on while your Engineers start capping in front of your base. Get 2-3 more Cons, another Maxim and a mortar, in an order of your choice. Research Molotovs after that, AT nades if you expect light vehicles.
Lock down important points with your Maxims, they are especially strong in buildings. If there are no good ones nearby, you can also build sandbags for them with your Cons. Your Maxims will be your main weapon against infantry blobs, but they can also hold their own against an MG42. Keep your mortar close to hit suppressed infantry. When you have munitions to spare, lay mines where you think vehicles (or blobs) might attack. Always hold back some munitions for a Molotov or AT grenade, though.
Support Conscript pushes with your mortar by smoking MGs and defensive positions. Don't blob your Cons, otherwise one MG42 (or even MG34) can suppress them all. Attack from multiple directions, use Oorah and Molotovs to flank and kill MG crews. Against Grens and Volks, you will have the upper hand at medium to close range with equal numbers. Try to avoid unfavorable engagements, but don't retreat unless you really have to. You can also give your engineers a flamethrower to make them useful in combat, especially against garrisoned buildings.
You will need some real AT soon. I like to build T3 as early as possible and get an SU-76. Use it like a more mobile AT gun, not like a tank. It has good range and penetration, but won't hurt infantry and can't take many hits. Therefore it's important that you always have your infantry in front of them to protect from Schrecks. The free barrage ability is good against suppressed blobs or support weapons. I often get up to three: This will give you enough AT to hold off Axis mediums, even a Panther, and you can heavily barrage Ost support weapons, OKW blobs (when they're suppressed) or even trucks.
If you're behind on fuel, get a ZiS gun before T3.
After that, get whatever you think is appropriate for the situation. Soviet T4 is not great, so this heavily depends on your chosen commander.
Lend-Lease fits this build pretty well: The PPSh will give your Cons more firepower at close range and you can repair your vehicles quickly. The M4C Sherman is decent and allows you to skip T4, if you want. You might struggle if heavy tanks come out, though. The Assault Guards are not great. The DshK is decent, but 2CP is fairly late for an MG.
Shock Rifle Frontline is obviously good for aggressive play. If you get Shock Troops, use their smoke nades (and smoke from your mortar) to get close and destroy his infantry. You can use incendiary artillery to force his support weapons to pack up. The IS-2 is not that great, but a good option if you struggle with enemy heavy tanks.
Guard Motor coordination is just an all-around good commander. Guards Infantry is great at long range (with LMGs ofc), and the heavy mortar is still pretty strong. The T-34/85 is better than the M4C, if you ask me, but you need to build T4. It doesn't need CPs though, so it might still come earlier. You also have the option to go for a Katyusha if you struggle with infantry blobs or support weapons.
I hope this helps a little. You can also watch some replays to see what the top players build. And there's a mentoring program here that might also be an option:
http://www.coh2.org/forum/69/mentoring