Work exclusively off of your Lists view in the RTM Android app. Tap the Menu button, select Views and then Lists. This shows all your context views and other special views.
You need to set up your context views before you will see the TRO context lists correctly.
Strange Sort Order in the Android App?
At this writing, the Lists view sorts your Smart Lists in a different order in the Android app than it does on the RTM web site. We are unaware of any way around this annoyance.