possibility to use autoroute?

I’m have been adding a couple of short paths in OSM lately. They mostly small trails in forests and are usable for walking/hiking and MTB.
Is there a feasible way to set the properties so that auto-routing could be used on the trails in different route planners? I have learned that most of the mapping services have route planners and in those you can define whether to follow roads for cars, cycleways or walking trails. However the trails I have added cannot be used in route planners.
e.g. https://www.openstreetmap.org/way/448811210
I fact I do not seem to find the correct property setup to make even a cycleway auto-routable. What are the key properties and how to set them in order to auto-route to work. Even in OSM’s own routing tool?

Your example works for me: