Both Olympus E-M10 II and Panasonic G85 have Four Thirds sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Another difference between these two cameras is that Panasonic G85's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moire occurring in certain scenes.
Below you can see the E-M10 II and G85 sensor size comparison.
Olympus E-M10 II and Panasonic G85 have sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.