On goodeggs.com, hover your mouse over the top right corner where it says Hi [Your Name]. A dropdown menu will appear and you can click on Your Orders to view your order history. You'll be able to view your eight most recent orders.
From the Good Eggs iOS app, click on the Favorites tab at the bottom of the screen. Tap on the Reorder selection at the top of the screen. To view a recent order, scroll until you reach the past order you'd like to review and tap on the View Order link.