Go to openstreetmap.org, register then update/modify to your heart’s content.
Don’t do silly things like changing footpaths to bridleways or vice versa, just make sure things are correct which is actually quite hard to do. Worth reading the documentation about paths, RoWs, etc. as it’s not UK oriented and there’s separate markup for legal status, what the path or track is actually like on the ground along with preferred route (this is used for something like sending horse riders on a quieter loop to avoid traffic)
Your changes will only appear on maps when those who generate/distribute them do another pull of the data for that area and then publish them. I think someone mentioned that Garmin do this just once a year.