No. What's the purpose? It'd be a foolish order except when there's an emergency. And there isn't any.
What about the existing motorized rifle regiments?
Putin has recently said that ground operations isn't an option. He left this role for Syrians.
The Russian Draft is to begin the training for the eventual Soviet Reunion that Putin with the help of Obama (tell vlad after my election I have more flexibility) will use this Middle East crisis to create.