I'm attempting to configure our TFS scrum setup to include a new process in development. Per the screenshot below, I've added a custom "Peer Review" process, but I want it to appear before the "Pending Review" process.
I can't reorder the items from the screenshot below
How can I achieve choosing the output order of these work process columns?
According to your screenshot, you are trying to customize the workflow (Inheritance process model). This is only available for VSTS by now, not able with on-premise TFS.
It's not able to change the state order, it's listed in the order you add them within the States page
What you can't customize
You can't change the order of states (states are listed in the order you add them within the States page, and they're listed alphabetically within the drop down list of a work item form)
Since you could not reorder the state, to achieve your requirement. You could only use this workaround: