Hi there!
Thanks for reaching out to the QuickBooks Community.
To change the status of your invoices to Sent, you can send a test email to yourself. Here's how:
1. Go to the Sales menu at the left panel, then pick the Invoices tab.
2. Locate and open the invoice.
3. Enter your email address on the right side of the customer's name.
4. Click Save and send, then Send and close.
Once done, the status of the invoice will now change to Sent. For your reference, you may check out this article for more information: How to create an invoice.
The process of actually marking it as sent without going through the test email option I provided above is not currently supported, but I invite you to submit your feedback by going to Gear > Feedback.
Hope this helps!