Hey,
So as per your Shoutbox request, here's a few suggestions for tightening your game a bit:
Build your tier 4 as soon as you have the fuel. The flak cannon provides excellent defence against Allied infantry, and on an open map like that you want to build obersoldaten as soon as possible. Falls are fun if kept out of danger, but die very easily and actually cost more than obers.
Get more MG34s and 42s at the beginning. The MG34 is cheap, spammable, and about the only reason to get the doctrine you chose. If you have Defensive doctrine I recommend using that instead every time. It has the same mg but many other options, including pak43.
Your teammate should get paks out quickly on a map like that. They have excellent range, penetration and damage. Your schreks have a hard time chasing light vehicles on such an open map.
Your teammate should also have chosen Close Air Support much sooner when it was clear you were fighting lots of infantry blobs. With constant strafes and paks, he wouldn't even need to build tanks. He also would have been able to get LMG upgrades for all his grenadiers very early on.
Other than that, gg wp