TL;DR
Yes they are placed automatically
Explanation
When a customer buys a subscription product, they accept this term on the Shopify checkout:
So we have access to renew the order based on the frequency the customer is subscribed to.
Subify charges your customer and creates the orders automatically; on the renewal of a subscription, subify tries to charge your customer and creates a billing attempt. If it is successful, then Subify creates an order with the payment status of paid for that payment.
On the subscription tab of your Subify panel, you can see all your subscriptions. If you click on one of them, you'll see more details about recurring orders of that subscription.
The history of recurring orders is visible under "Order History". By clicking on each Order ID, you will be redirected to the order page on your Shopify admin panel.