You are bypassing the old regulator and splicing the brown to the blue and the red/orange to the white correct?
It greatly depend on what model of CS series alternator you are using. Personally I would wire like the pic above and use the blue wire to the "L" terminal, white wire to the "S" terminal.
Taken from this link
Installing CS-Series Alternators…
Always disconnect the Negative Battery Cable before doing anything!
Install and secure the alternator with the mounting hardware
Attach the BAT terminal before connecting the PLI/FS voltage regulator connector
Attach the PLI/FS voltage regulator connector
Insure belts are tensioned properly and there is no interference with the alternators terminals
Connect the Negative Battery Cable.
10. The CS terminals are designated as follows:
P-Terminal: The Pulse/Phase terminal can provide a 12V square wave to determine alternator speed, used by some Electronic Control Modules or vehicle computers. Connects to the stator. Some ICU’s monitor this signal and adjust engine parameters accordingly.
L-Terminal: This terminal is connected to the “Low” side of the warning lamp, with the lamp’s “High” side being fed by the ignition circuit. Some regulators require a 35-ohm resistance inline with this circuit if no lamp is used otherwise alternator damage may ensue. Some applications have a resistor connected in parallel to the lamp in case the lamp bulb opens up and burns out. The resistor will be there to provide a path for current and voltage. Some vehicles supply a 5Vdc reference to this terminal from their ECU or Computer; other vehicles don’t, so be aware of the various models of regulators. Other regulators may be tested by application of a 50-Ohm pull-up resistor to connect the L-Terminal to the 12Vdc source, I believe that any resistance between 35 Ohms (5-Watt resistor) and 500 Ohms (1/2 Watt resistor) can be used safely.
F/I-terminal: has several duties depending on the specific regulator, some regulators have a resistor that is internally connected between the Field and Lamp terminal. Other regulators use the F/I terminal to provide field duty cycle information to the vehicles Electronic Control Module or computer. These regulators are not interchangeable, but for our Chevelles, it hardly matters. For ECM related vehicles it can be of paramount importance. If the alternator that is selected comes from a vehicle that only uses the I-Terminal then the wiring may simply require a wire from an ignition source in order for the alternator to operate correctly.
S-terminal: This is a heavier gauge terminal spade lug that is connected to the battery. This terminal is the “Sense” circuit and monitors battery charge. The S-terminal on the CS-130 regulator is larger than the other three terminals.
