"Woven" works only as a past participle, so that means you can use it in perfect and passive grammar, as well as an adjective. I have woven a basket. This basket is woven. It is a woven basket.
"Weaved" is a little more interesting, as we also have the simple past "wove". "Weaved" can feasibly work as a past participle - I suppose it depends on the region the speaker is from - but at least "woven" cannot work as a past simple verb.