Push products to printful syc store from Shopify API

[Awon]

Hi,
I'm having trouble pushing products to my Shopify Sync store. I've manually created and synced products between my Shopify store and Printful store. However, I'm unable to create a product on my Printful Sync store via API because Printful doesn't allow this for Sync stores. So, I tried creating a product on my Shopify store using the Shopify API, but it's not pushing the product to my Printful store. Essentially, the product I created using the Shopify API isn't showing up on my Printful store, which is linked to my Shopify Sync store.
Any of the members had similar scenario ?