Quickest way to get wood, berries, stone and herbs without boosting:
1. Start a normal quick game.
2. Immediately leave the cabin and gather 3 stone and 3 wood.
3. Craft a pickaxe, axe and sickle.
4. Run around the map chopping trees, gathering berries(you have to pick them up to count), pickaxing stone.
Sickle will chop herbs in one hit, berries in 3-4 hits. Axe will chop trees in 4-5 hits. Pickaxe will take around the same time as trees. You can knock down 2 or more of these at once if they are bundled by standing in between them and lining up your swing to hit 2-3 at the same time.
If you are doing this with your hands you are wasting time.
I was able to get 30-40 trees per match and significant progress on the other cumulative resource achievements.