Wiring AC condenser to Furnace

To long for a comment, not a proper answer but it may assist the OP in getting it connected or provide us with enough information to help out.

First we would need the model number of the condenser or outside unit (do you have power wired to the contactor?) next we would need the model of the thermostat (the thermostat turns the fan on in the air handler with heat, cool & fan modes) last we would need to know if the contactor control is wired to the thermostat. Notice I keep going back to the thermostat. To me this looks like an add on so you will have to have a thermostat that can control 3 things. #1 is the fan, number 2 is heat and number 3 is cool. This can be done with the right thermostat. However the outside unit requires power. Most of the time 240v and depending on the size of the unit it will need a 20-50 amp circuit with a local disconnect outside within site of the condenser. The common and cool wires going to outside unit or condenser, the heat and fan should be the same as it originally was but you might need to separate the call for heat and fan signals coming from the thermostat. It sounds like you have enough wires we just need the model numbers so we can help with more than guessing at the standard color codes for the wiring.