Hi @SathFrl
Thanks for sharing your question with us!
Dov does a great job of explaining the solution to a similar issue in the thread linked below. Additionally, I would also suggest ensuring that as part of the WooCommerce/Klaviyo integration is granted the read/write permissions within the REST API user role permissions.
However, it should be noted that at this time, Klaviyo only supports one integration of any type within a single Klaviyo account. Klaviyo is not currently optimized to support more than one ecommerce store per Klaviyo instance, so If you have more than one ecommerce store of the same type, we recommend you create a Klaviyo account for each store.
If you have more than one store, and each is supported by a different platform, it is technically possible to integrate all stores with the same Klaviyo instance. We highly recommend against this, however, in order to streamline data analysis and prevent confusion amongst metrics with flows and segments. We don't provide a way to separate stores within a single Klaviyo account.
With multiple account management, it will be easy for you to switch between your Klaviyo accounts.
Hope this helps!
-Taylor