I've been trying for years to get them to add a cut-through that exists near the house. Not sure why they won't add it, but it makes walking directions in the neighborhood make no sense.
Add it to Open Street Map. Google was missing a minor pedestrian bridge in my area a few years back. I added some sidewalks to OSM connecting it up, and Google routes started using the bridge as well. Of course it might have been a coincidence…