see attached picture. playing on 1.20.1
fabric version 0.16.9
mod version 12.10.3

It seems like you can put items in them, if you can find which side to use, but they are invisible and allow you to see through adjacent blocks. See attachment. Regular drawers (can partially be seen to the left) look fine, just framed ones seem to break. Note that this was based on the BCG+ pack and we added drawers to it so there are a ton of resource packs. However, even if vanilla is made to be the top setting, you still get invisible framed drawers.

(edit) Note: it comes out of the framing table as an invisible item. Even the preview while it's in the table is fully invisible

On BCG+, I managed to get it working by removing modernfix