The only version currently downloadable from itch is the Tiny Life Demo, which is the same as the Tiny Life Demo you can download on Steam.
Before, both Steam and itch had the Tiny Life Public Beta available, which supported mods and other types of custom content. If you want to install custom content on that version, you can find all the info here: https://docs.tinylifegame.com/articles/getting.html
Good luck!