Personally I switched from Rocksmith to goPlayAlong, mostly because it syncs audio to tabs. It does not do note recognition, but I had more trouble in rocksmith than its worth. Notes that do not get recognized for some reason. My low e string has trouble getting recognized even though its in tune.
I've also realized that its not a good idea psychologically. You basically remove the "did I play it correctly and did it sound good?" part from your brain, and rely on a external system to provide that feedback for you. This would be no issue if these tools could gauge that better, going beyond "does the input have the correct frequencies at the correct times?". It does not recognize fret buzz, it does not recognize you slightly panicing but still hitting the correct notes.
So in goPlayAlong I just select the parts I wanna work on (you can not just select bars, but also single notes), make sure the pitch is correct (it has halftone + semitone corrections), slow it down to the tempo I want to work on. Then I play it a few times. If I am happy with how it sounds, I press the + key on my keyboard to increase the tempo by 5%.
It also has a trainer mode which increases the speed after a set amount of playthroughs (of the section), by a set amount of speed. So increase 1% every 5repeats for example. I use it when I am more focused on improving speed.
It also has a very tight feedback loop. After it played the last note of the section it straight goes into the first note of the section again. No "You did great", no playing 5 seconds after and before the section like rocksmith does.
Unfortunately it costs something like 40$. After trying the demo and the song syncing I instantly bought it. I was very impressed it was able to accurately sync a live version of a song to the tab, accurately.
The only thing I miss about it is beeing able to edit the tabs.