ERP automation send back to WP tracking number and carier

Hey Guys,
So we are using one of the ERP software and using wp rest API to connect our ERP. So far is working very well. Order complete process triggers. But now I want to buy an order tracking plugin from you guys, but I want to integrate our ERP system. When an order is fulfilled from our warehouse order tracking inputs the ERP system, and i want to send it back to wp and input this tracking and carrier information automatically.

How can we achieve this goal?
thanks a lot