Yes Juventus is playing much better now and that is because of new coach. Massimiliano Allegri did some great things when he was in charge like getting them into Champions League. But now team has new energy and a winning attitude. Their improvement is exciting and gives us reason to be hopeful. Liverpool is also very strong under coach Jurgen Klopp. If they keep playing at this level they will achieve great things.
This season Liverpool and Juventus have both been handled by new coaches and both are still doing quite well in their respective leagues. But I hope Juventus and Liverpool can give better things this season and can win their respective domestic leagues because winning other competitions like UCL seems like it will still be very difficult for both of these teams. Although both teams have managed to win two matches in the Champions League this season and have occupied quite good positions in the standings because of those wins.