Most garden centers sell lawn seed mixtures formulated just for shade. These are selections of grasses composed of shade tolerant “fine fescues” which are combinations of sheep’s fescue, red fescue, chewings fescue and other special varieties.
Now is a good time to sow lawn seed. Lightly rake the seed in for good soil contact. Keep the area moist until you see germination. It may take up to three weeks before you see a lot of green.