Ceiling Fan with light kit and remote on 2 different switches
You can't... Well, you can't use separate switches to control the fan and light, and also use the remote. So you'll have to decide if you want to use two wall switches, or the remote.
The reason that there's only three wires coming out of the fan unit, is because you're only supplying power to the remote module. The remote module then controls the fan and light, depending on what buttons are pressed on the remote control. If you pull out the remote module, you'll find four wires going from it to the fan unit. One wire for neutral, one for ground, one for the lights, and one for the fan.
If you just want to use the remote control.

Connect the ground from the ceiling, to the ground from the remote module in the fan.
Connect the neutral from the ceiling, to the neutral from the remote module in the fan.
Connect the &quot;hot&quot; wire from one of the switches, to the &quot;hot&quot; wire from the remote module in the fan.
Cap off the extra &quot;hot&quot; wire from the other wall switch.

If you want to use two wall switches

Remove the remote module from the fan.
Connect the ground wire from the ceiling, to the ground wire(s) in the fan unit.
Connect the neutral from the ceiling, to the neutral(s) in the fan unit.
Connect the &quot;hot&quot; wire from one of the wall switches, to one of the &quot;hot&quot; wires from the fan unit.
Connect the &quot;hot&quot; wire from the other wall switch, to the other &quot;hot&quot; wire from the fan unit.

If you want to use the remote for the light or fan, and a wall switch for the other. That can also be accomplished, but I'm not going to cover it here.