wiring a ceiling fan with light with two switches

If you want this setup, you can remove the switches, and in the box that held the switches, connect the black wire bringing power to the switch directly to the black wire going to the ceiling fan unit. On, off, and level control for the fan and light are all controlled from the remote. In those cases, you follow the diagram in your question using just a black (hot) and a white (neutral), plus a ground going to the remote controller in the fan unit itself. In modern fans with remote controls, the whole fan/light assembly is often set up with no wall switch. Those hot wires may be the same or different colors, usually black, red and sometimes blue (or even a striped color). The hot wires are separately connected to the hot from the fan and the hot from the light. In the ceiling box, the white wire was connected to the white wires from the light and the fan. There is no firm rule as to which goes to which. The neutral wire was for both the fan and light, but the hot lines were separate. The cable from the switches to the ceiling usually had three wires (plus a ground). In many cases the incoming hot line was connected to two switches, one to control the fan and one to control the lights. There usually was also a ground wire, most commonly bare, but sometimes green. In many older fan/light setups, power came to the wall switch with just two wires, hot (black) and neutral (white). It sounds like you are converting from a fan that did not have a remote control to one that does.

Wiring a ceiling fan with light with two switches