After doing a bit of searching I concluded that there's currently no way to get chests of different wood types on Fabric. Forge has Quark, but there is no Fabric equivalent that's combatible with EC.

Charm and More Chests would be the ones to implement for Fabric if you ever plan on doing so.

Can you fill out the information:

Availability for Version-Loader

• ex: 1.18.2-Forge

Types

Block:

• Chest

Item:

• An item with Wood-Type used for crafting

Details

Any notes we should keep in mind regarding the mod?

Availability for Version-Loader
1.19.2-Fabric, 1.20.1-Fabric
Types
Block: Chest
Item: Wood Planks/Wood Plank Alternatives

Details
Would be enabled when mods such as Variant Chests [Fabric | Forge], More Chest Variants [MCV], or Charm.

Availability for Version-Loader
1.19.2-Fabric, 1.20.1-Fabric
Types
Block: Barrels, Chests, Bookshelves, Chiseled Bookshelves, Ladders
Item: Wood Planks/Wood Plank Alternatives

Details
Would be enabled when mods part of the "Variant _______" mods or Charm.