A/C devices like lights and fan motors need to be connected to a "hot" (live) wire and a "neutral" (normally white) wire to operate. The ground wire is for safety.
At your wall box you have a black and a pink wire. These are most likely a black "hot" and a pink "switched hot". A switched hot is only hot when your wall switch is ON, it delivers live power to the ceiling box. Remember, a switch just makes or breaks a hot wire, no neutral wire hooks to the switch, that is why there is no white wire at the wall box.
At your ceiling box you have:
- a black wire, this is most likely a "hot" wire (you can confirm with an electrical tester)
- a pink wire, this is most likely the "switched hot" from your wall box that can be turned on or off with a switch installed in the wall box.
- a white wire, this is most likely the neutral wire.
- a bare wire, this is a ground wire.
Assuming the above is true:
At the ceiling box- white to white, black to black, bare to ground. This will give constant power to your appliance and "remote only" control. Cap off the wires in the wall box and cover with a blank plate as the switch will no longer be of any use.
At the ceiling box- white to white, pink to black, bare to ground. This will give you switched power to the appliance. Re-install the wall switch at the wall box. This will allow you to control the appliance with the remote only when the wall switch is turned on.
remember- never work with live power, disconnect power at the breaker or fuse panel. Many different wire colors and configurations may exist, it is always best to confirm with an electrical tester or hire a qualified electrician.