Work exclusively off of your Lists view in the RTM iPhone/iPad app. Tap the Lists icon at the bottom of the screen to see all your context views and other special views listed here.
You need to set up your context views before you will see the TRO context lists correctly.
Strange Sort Order in the iPhone/iPad App?
At this writing, the Lists view sorts your Smart Lists in a different order in the iPhone app than it does on the RTM web site. We are unaware of any way around this annoyance.