The standard answer seems to be
osmand/tracks/ however I cannot find osmand..anywhere
the closest I can find is osmdroid/tiles which only has a Mapnik.zip file in it
other places that cannot be found are the Data storage folder as in Global app settings i.e. /data/user/0/net.osmand/no_backup
one place I did find was android/data/net.osmand/files but this was empty and that was with show hidden files checked!
I'm running Android 6.0.1 and OsmAnd 2.3.5
please give us a clue !!