can you read some italian? I found a site that plan the route with local buses and train... your itinerary is a little long and complicated, anyhow try this link
wait awhile because it take some time to elaborate, it will give you direction to where to go and what to get, the first two legs are on train, the second two are buses. click on Tariffe on the right of each solution to see more details.
another option could be to contact the Cagli tourist office and ask them better direction, also there might be a private shuttle service available, more expensive than the buses but probably much more confortable.
here the contact for the tourist office
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