Certified GKH Gardening Expert
It looks like the bed is probably shaded most of the day, is that right?
If you're looking for grass that would grow there, here's an article that lists a bunch of shade tolerant varieties:
It looks more like a flower bed, though. If you'd like to grow flowers in it, here's an article all about shade-tolerant flowers:
If you'd like to split the difference, you could fill the spot in with groundcover - it would have the uniformity of grass, but the interest and texture of flowers. Here's an article all about shade-tolerant groundcovers: