If Smart Notifications is installed on two Shopify stores, you're able to send orders placed on one store to the other using a feature called Linked Store Orders.
To set up Linked Store Orders, you need to do two things. First, you need to set up the link between the two stores. Second, the sending store needs to create a notification that targets the receiving store.
The full process for linking two stores and sending orders from one to the other is detailed in How can I send orders to another Shopify store?.