Match When Only One Term In String Matches

My question regards searches with multiple terms that do not show results if the first term has no match, but the second term does match results.

Example:

I have products and categories that include the term “carts”.

If someone searches “carts” all results show fine. But if someone types “large carts” or “blue carts” I get no results. However, I would really like my categories/products that have “carts” in the title to appear as results for ANY term that includes “carts”.

Basically, it appears that by default it uses an “exact match” format but can I do something a bit more loose, so that “shopping carts” will still show my “carts” category/products even if none have the word “shopping” in them?

Would fuzzy search handle this? Which option (I’ve not been able to determine the meaning of soft/hard in that setting).

Thank you!