Just like order importing, there are two ways to send order updates to a store: manually and automatically.
How to Send Manual Updates
To update order information manually go to Settings > Stores > Orders to Rename. Select “Manual” under “SEND ORDER STORE UPDATES AFTER”.
After an order is fulfilled it will be marked by a 
until order updates are sent to the store.
Click the order you want to send the order update for and inside the order you will see the same symbol. Hover over that symbol with your cursor and a box will appear that says “SEND UPDATES NOW”.
Once the order information is successfully updated for the store the icon will look like this 
.
How to Send Automatic Updates
To update order information automatically, go to Settings>Stores>orderstorename. Select “Minutes” or an “Hours” amount under “SEND ORDER STORE UPDATES AFTER”.
If the minutes option is selected, the order update will be sent to the store as soon as possible after the order is fulfilled.
The hours option will delay sending order updates for the selected hour duration. A user might want to choose to delay sending order updates to prevent customers from receiving shipping information too soon (i.e. before the carrier receives the package). This can reduce the volume of customer service calls related to shipment progress or lack thereof.