Trainer support for Cities Skylines Windows 10 Edition has been lacking. I suppose due to low numbers of players? Anyway, the game does support cross save between console and PC, you'll have to buy it twice...
With that said, there's only 2 versions of trainer for Windows 10 edition and they are very outdated. The latest version as of the posting of this is 1.7.2f3 (shown in game) or 5.0.0.2 (as shown in Windows Store). I filed an update request but unsure if this will even get a look since I was the only one request it...
We support every trainer on our website in the very same way. If people don't file update reports for the Windows Store version, it doesn't get updated.
So please be patient until others report the WS trainer too.