There was no sharing auto available for Bundi Bus Depot from Taragarh Fort. I paid Rs. 20 for solo travel. The distance is 1.5 km approx.
Bundi to Kota Railway Station distance is 35 km approx.
Recently I did the journey for Kota from Bundi Bus Depot (0747-2445422) by Rajasthan State Road Transport Corporation bus. The bus will drop you at Central Bus Depot, Kota after crossing Chambal river. Autos are available outside the bus depot for Kota Railway Station or if you want sharing auto service you have to walk a little approx. half km to reach Nayapura Chowk.
Bundi Bus Depot to Central Bus Depot, Kota Rs. 27 the fare. Total journey hours 50 minutes approx. because National Highway 12 widening work is going on.
Central Bus Depot, Kota to Kota Railway Station is approx. 5 km. I paid Rs. 50 auto fare but if you are hiring sharing auto service from Nayapura Chowk Rs. 10 the fare.
Total travel time starting from Bundi city to Kota Railway Station was one hour thirty minutes.
Re.: Kota Railway Station to Bundi
You do not have to worry because autos are available outside Kota Railway Station ready to drop you at Kota Central Bus Depot. And from Kota Central Bus Depot many buses are available for Bundi.