Hello,
Madalin from Pixelgrade here.
By default, the WooCommerce plugin is working in every theme so it will work with Rosa Lite too, however your shop will not be consistent with the rest of your site, because the default styles from WooCommerce will be used.
Rosa PRO is fully integrated with Woocmmerce maintaining brand consistency across the board: from the home page, all the way to the checkout.
Here you can find Rosa Lite documentation, but because is not fully integrated, there is nothing in about WooCommerce in documentation.
Have a great day,
Madalin