With Sellbrite for Shopify, your marketplace orders will be imported into Sellbrite's system, then routed to Shopify for fulfillment. Orders cannot be processed in Sellbrite's interface. This means you can continue fulfilling orders the way you always have, using any apps you currently have connected to Shopify.
All of the order details will be sent to Shopify, including the marketplace it originated from and the Sales Channel Order number.
After you have fulfilled your order in Shopify, Sellbrite will retrieve this update and send the "Completed" order status back to the marketplace the order came from.