Your WooCommerce product table can include any of the following columns: ID, SKU, product name, description, short description, date, featured image, reviews, stock level, product categories, product tags, product attributes, custom fields, custom taxonomies, weight, dimensions, price, variations, and add to cart buttons (with or without quantity selector).
You can also choose which products to list in each of your tables. The plugin uses the product data already created by WooCommerce itself. This means that you can add products to WooCommerce manually or import them using a CSV/XML import plugin, and they will display in the product table.