For cool-season grass, Ryegrass and Fine and Tall Fescues offer the most shade tolerance. They require four hours of sun minimum to survive. Warm-season grasses that grow in some shade include Zoysiagrass and St. Augustinegrass.
When shopping for grass seed, you need to choose shade-tolerant blends that are adapted to your region.
I had gone to our local garden center and asked them for seed for shade for our area and they picked one out for me that worked great.
Call or visit your local nursery to get more information for your area and project. They will have just what you need.
But keep in mind that Rye grass is an annual grass not a perennial grass. It is thrown in the mix to get something growing. It will sprout in about 3 days while the rest of the mix germinates.
Lowe's has seeds for such places.