Many suburban gardeners have fantasies of growing big trees with lush green lawns underneath. But heavy shade isn't optimum for growing healthy grass. Instead you end up with spindly grass clumps and plenty of bare patches, which provide ideal conditions for weeds. Where turf grass is weak, you'll often see shade-loving weeds such as ground ivy and moss.
Gardening is meant to be enjoyed.
If plants don't grow well in a specific spot, pull them out and plant something else that will do better.