This pits two ninja we've never seen against one we have. There's no way to tell how this fight would go, but I can see Ino crushing Tsunade's heart with her mind.
I believe Sakura and Ino wins. With Telekenesis, Ino can trap Tsunade in one or use her telepathy to give Tsunade genjutsu, herby trapping her. Now that Sakura has the chance, she can just give big massive Katons to Tsunade until she is dead.
These power-ups mean that the left-hand side of this battle are complete unknowns. The powers granted to Ino are pointless, because they are not explained. Your battle only means anything to you, because only you have an idea of what the hell this Ino and Sakura are like. Closing.