You can add your custom badges to each product.
Step 1: To set up custom badges, go to Settings > Metafields and metaobjects > Products > create a metafield with the following options:
Step 2: Enter name & Namespace and key > Select Content Type: Text > Single line text > List of values (you can add up to 5 badges for one product)
Name: Custom Badges
Namespace and key: theme.custom_badges
Step 3: Go to the product you want to add custom badges to > Add
