Both Fujifilm X-E2 and Fujifilm X-M1 have APS-C sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
One other difference between these two cameras that is worth mentioning is that Fujifilm X-M1's sensor doesn't have an 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 moiré occurring in certain scenes.
Below you can see the X-E2 and X-M1 sensor size comparison.
Fujifilm X-E2 and Fujifilm X-M1 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.