I'm in NJ too and I've had good results with Johnathon Green Dense
Shade or Shady Nook Mixes. Both are mixes of mostly creeping fescue
which does well in shady areas. However, you have a bigger problem and
that is the trees themselves. Most maples are known for being
impossible to grow grass under because they have roots which stay close
to the surface. In many cases, they are visible near the trunk. The
roots suck up water, nutrients and space, which combined with the
shade, kill the grass. You may have better success with plants other
than grass. I would also make sure to test the soil and adjust the
PH, as in areas like this that can be way off.
If you're trying to grow grass in areas shaded by trees, spring is the
best time to seed. With no leaves in early spring, it gets more light.
Plus you don't have leaves soon coming down that have to be kept off
the new grass, which is a big headache.