Are you genuinely questioning the veracity of that video because conscripts who have barely been trained have facial hair!?
I mean the video may not be legit but that is an amazing stretch even for you
If a person is going to punt out propaganda - which this is i.e ill equipped Russian soldiers with low morale - then they need to at least make the effort to find out about the Russian army as in this instance. We've been shown pictures of them training - so some can mock them - and guess what they are all clean shaven. There are exceptions.
As far as recording it on a mobile phone - well I believe they are not allowed on active duty. I might be wrong though.