You can use another OsmAnd plugin OSM-editing to do that. It’s in-built, but you do need to activate it. https://www.osmand.net/docs/user/plugins/osm-editing#upload-gps-track

Also you could share the track internally in the phone OS to file browser to save it as named file on the phone memory. https://www.osmand.net/docs/user/personal/tracks/#export-track. Then upload it via osm website. https://www.openstreetmap.org/traces has generic upload gps track feature.