Tivo and YouTube have entered into a partnership to show YouTube videos through Tivo box which can be watched through your T.V. It’s a good news, but the sad part is, It works only with series 3 DVRs. I have a Series 2 DVR. 
TiVo users will also be able to interact with Google‘s YouTube directly, such as logging on to YouTube to get their playlists or favorite YouTube channels.
Source: Yahoo News.