It appears as though Rocksmith 2014 will be headed to the PlayStation 4 and Xbox One fairly soon, as the ESRB rated it on those platforms today, giving it a T for Teen, the same as the other versions.
Retailers have previously listed Rocksmith 2014 for new-gen consoles (Zavvi still shows it), and according to an Amazon IT listing (via TheRiffRepeater) that was taken down in July, you’ll be able to import your previously purchased DLC on PlayStation 3 to the PS4 version for free, with a similar process available from Xbox 360 to Xbox One as well.
Ubisoft still hasn’t confirmed Rocksmith 2014 for PS4 and Xbox One yet, but if they do, we’ll let you know all the details.