He also had Sterling ,Coutinho in good form. He left at the right time because they couldn't keep up that style until early on this season. The Barcelona number 9 has been a tough position ever since Eto left especially with a player like Messi in there and the positions he takes.
Yes hence, Liverpool Suarez >>>>>> Barca Suarez in every category except finishing.
Even the higher scoring output can be attributed to the fact he was on a flat-out better team, being serviced by Iniesta, Rakitic, Messi and Neymar, all competant play makers in their own right.