@liquidcherry - thanks for clearing that up!
So the answer to TM searches on UD.com, yes they search publicly available information. We don't currently have the USPTO search up (that's a coming feature) but it does search for TMs registered nationally in Germany, TMs registered within the EU, and International TMs.
If you search for a trademark and it comes up green, that means our search has not found any publicly available matches in the registries for DE, EU, or INT.
Like any search, we have our limitations, but we do our best to be as accurate as possible.