Love using Channels on Apple TV. I Have DVR Recordings From Channels DVR Wondering When Or If That Feature Is Coming To Channels iOS. If Available Now, How Do I Get My Recording To Show On Channels iOS?
Not available yet, but definitely planned.
Per @maddox this past December:
"If what you’re asking is: Will Channels DVR support be added to the iOS version of Channels, then the answer is: absolutely!
This support won’t be added until after the Public Beta launches though. We’re targeting just the tvOS client to launch with the Public Beta. We’ll be adding all the DVR features to the iOS app during the Public Beta period."
Not released yet 
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If you turn on remote feature in the settings, then you can log into your IP with the correct port and have access to your content from anywhere. Set up recordings, update the DVR, cancel and alter recordings, watch live TV and recordings. It works absolutely brilliantly!
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I agree, the web-ui encompasses everything, and works everywhere, especially including iOS. It includes everything the ATV app has, plus a plethora of extra recording options, sorting settings, and a superior content search.
Exactly. The mobile web UI is essentially the same as the desktop UI. When I first used the mobile web UI, I was extremely pleased and surprised at how functional and responsive it was right off the bat when public DVR was released! Phenomenal product in my book!
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