Fulgencio Batista was the president of Cuba on more than one occasion, sometimes getting the power by voting, sometimes by overthrow of another leaders, sometimes through puppet political figures. The Cubans did not liked him at all though after they saw what his policies are. The things that the people didn't liked about him were numerous, some of them being that he was sponsored and supported by the US, having connections and agreements with the American Mafia, being very cruel totalitarian leader etc.
Fulgencio Batista was terrorizing the people. He ruled with iron fist, restricting the rights of the people, including the right of free speech and organizing protests. Everyone who was seen as a potential opponent was eliminated. He got his back covered by the US and by the American Mafia, making enormous wealth in the process, while the people in the country were suffering and living in fear. It is no wonder the Fidel Castro managed to convince the people to join him and support him in the revolution and take over the country, and in fact, despite Castro also being a totalitarian leader, in many ways he was much better than Batista.