[2022] How to put Wood and Lumber Signs?

Not wanting to insunate something, but given your skill bar and the fact this is only possible to occur via admin / developer commands, they were likely not crafted or crafting was modified in a way that broke stuff.

The wood sign does no longer exist as a craftable item and has no model, as it was removed and is only left as a parent placeholder sign for development purposes, it cannot be gotten without spawning it. That also applies to some of the other signs that have variants, they all have a parent sign without model that has 'no variant' and no model, also only gettable by spawning. This is also true for other items, like tools. /give hammer will give you a generic non-variant hammer that doesn't work. For spawning it's always important to use the name of an actually craftable item, so it can be used, as commands give access to all items, no matter if they can be gotten in normal gameplay.

This is not one of the signs I mentioned, and it works perfectly:
https://ibb.co/R6SVjPh

Whatever item you got there, it seems to not be the one you get via crafting in an unmodified basegame or spawning the correct items (and variants) as listed on the wiki. I unfortunately can't tell without the world and given the world obviously had commands used on it, it won't be suitable for any investigations either, as for that it should be unmodded and without such commands used.

I've now also tested all variant signs, they all work, here a selection of them:
https://ibb.co/P52L9Mm

The one you actually seem to use in your screenshot is the Spruce sign, also works:
https://ibb.co/v4KtSXb

So whatever is happening there, it is not happening reproducably with a normal vanilla client on the latest release version :( At quick glance I also see no mention of this issue anywhere else (other than your crosspost on Steam).

Anyone else here on reddit, that also has this? If you got an unmodified world with no dev commands used, can always send it over to me to check.