What do you mean by a father on horseback and a whip on horseback?
Father is a supporter and guide, helping children learn to walk and think independently. Ride on horseback: it means to guide and help someone to start doing something, just as someone needs to ride on horseback to ride. It means to describe the way the whip is waved, and it is a metaphor to urge others to work hard and pursue their own goals. The whole sentence means to keep struggling, working hard, enterprising, fearless and brave on the road of life.