Product choose custom taxonomy like category and you can display custom taxonomy in Search Form and Product Detail.
1) Create Custom Taxonomy
Go to Products >> Custom Taxonomy >> Add Taxonomy
Show In Listing: If choosing this, this taxonomy will display in listing of product (Archive Template)
Add Value (term) for a taxonomy
Go to Products >> Custom Taxonomy, a listing of Taxonomies will be showed. If you want add value for a taxonomy, you click the folder icon of that Taxonomy
2) Add Custom Taxonomy in Product
Step 1: Setup Custom Taxonomy in Global Setting
WooComemrce >> Settings >> Booking & Rental >> General >> Show Taxonomy depend Category: Yes/No
Step 2: Setup Custom Taxonomy in Category
Read here
Step 3: Add taxonomy in product
Product >> Add New Product
3: Display Custom Taxonomy at frontend
