Hybrids work best with low rolling resistance tires -- although a few of the ones I've bought over the years seem to start at 7/10" tread so you're paying a lot and getting less tire? That formulation makes it easy to get up to speed and then be able to coast around town. If the tires are too sticky then you aren't going to be able to coast on electric only and save gas.
I've used Goodyear Assurance Fuel Max tires, Bridgestone Ecopia EP422 Plus and Pirelli Cinturato P7
I would recommend the Goodyears again -- or the Ecopia tire if you can find them (although they seemed noisier).
Currently I am using the plain Goodyear Assurance tires WITHOUT the fuel max -- which ARE stickier than usual, and do cause the car's drivetrain to shudder with sudden stops .. That's what the dealership had in stock that day and I thought maybe they would eventually wear down to 7/10 anyway. There is a slight hit on MPG.