What do you mean, their trees? Trees belong to everyone and to themselves. You benefit from the shade and the oxygen, they beautify your life.
Don't worry so much about imaginary concepts like property and fault. Plants don't care about property lines. Maybe plant some more trees and then they can drop leaves on some ground you don't consider yours.
The trees are just living. Does your HOA make you clean up or something? Idk where you live so I can't recommend specific species, but you could totally just replace your lawn with cool native plants and just stop worrying about where leaves are and aren't.
