How to find my games from 2019?

Go to Lorenzo's steam library filters and select "Order by date".

Use the Steam app. Look at your library, and in the large window on the right, sort your games by release date. I know the new library layout gets a lot of hate (people hate change, generally speaking, but it's actually kind of cool in terms of how it lets you sort each of your folders

If you click nominate it also shows you the games in your library that are eligible. In my case, only 1 game. :p

I found it interesting that Control, which is out, just not on Steam, can be picked but won't actually stick as a nomination.

Presumably Valve don't want to risk giving an award to a game you buy on a competitor's platform. Does make it a bit of a weak award though. "Best games that you can buy on our platform only!".

In the "home" area of the library it lists all games you own on the default shelf, you can arrange the game thumbnails by release date on Steam in the dropdown (where it says "sort by"). ;) There's no need for 3rd party tools.