In place of Natura's "Giant Sequoia" Redwood or BoP's Redwood tree making their respective redwood versions of drawers I receive oak drawers instead. The crafting table output also shows an oak result instead of redwood.
Those particular woods make redwood doors and other redwood versions of items just fine, just not drawers.
I didn't notice any log errors and I also used the AntiIdConflict mod which didn't see any conflicts.

StorageDrawers - 1.7.5
BoP 2.1.0.1521
Natura - 2.2.1a2
StorageDrawers-BiomesOPlenty - 1.7.10-1.1.0
StorageDrawers-Natura - 1.7.10-1.1.0

Forge 1.7.10-10.13.4.1614

I couldn't reproduce this in testing. Both planks gave me redwood drawers in NEI and on the crafting table.

Did you mix the different redwood plank types? If you use more than one type of wood the drawers are oak.