EMG has an instruction sheet that shows a schematic of the pickup:
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The pins are:
green (front coil -)
white (front coil +)
ground
red (rear coil -)
black (rear coil +)
A typical humbucker configuration would tie the black and white wires together, use green as ground, and red as the signal. If you follow the signal path from ground to hot, it goes from the minus (start) of the front coil, through the front coil, then from the + of the front coil to the + of the rear coil, through the rear coil "in reverse" and out the - of the rear coil. The magnetic polarity of the two coils is opposite, so you end up with two coils that are opposite magnetic polarity and also opposite "direction" in terms of the orientation of the coil.
This is humbucking (noise cancelling) because noise doesn't "see" the magnetic orientation, only the coil direction. So from a noise perspective, the two coils being opposite of each other means the noise signal in each coil is opposite in phase, so it cancels itself. Meanwhile, the signal gets through because from the vibrating string's perspective, the magnetic polarity also impacts the polarity of the signal - so, the two opposites (magnetic and coil direction) cancel each other, and you end up with a signal in each coil that are in phase, as if there was just one big coil - the two small coils put in series.
When we want to split a humbucker and get one single coil to act like a single coil pickup, it's helpful to think of the pickup as having a bottom (the wire connected to the middle), a middle (the tap, aka the two wires tied together), and a top (the wire that's connected to signal). You can "coil tap" or split the pickup by connecting the middle to either the top or the bottom.
A typical coil split on a single pickup works by shorting the two joined wires at the middle (the black and white wires in your case) to ground. What this does is bypass the front coil, since the signal's path from ground now goes straight to the black wire, through the rear coil, and out the red wire. The front coil basically gets skipped, since electricity takes the path of least resistance, and both ends of the front coil are tied to ground.
Since you expressed that you want the two inner coils active for your coil split, that typical approach of grounding the tap at the middle of the pickup will work for your neck pickup. The "rear" coil that's left active will be the innermost coil on the neck pickup.
For the bridge pickup, to activate the inner coil, you want to do the reverse. You want to cut the rear coil out of the signal, instead of the front coil. To do that, you want to lift the black/white connection to the red wire instead of pushing it down to ground.
Look at typical wiring diagrams for using a push pull switch to do a coil split. When you're splitting a single pickup with a typical push pull pot, the wiring is very simple. You connect the middle pair (the tap) - the white and black wires in your case - to one terminal of the switch, and you connect the thing you want to short it to to the other terminal of the switch. If you're looking at a push/pull pot as you would from the back of the bass, with the pot down and the switch contacts up, typically you'd wire it like this:
View attachment 4134233
I clipped this out of a larger diagram. You can ignore the labels on the wires. The "north finish" and "south finish" are your black and white pair. "South start" is your green wire, and "north start" is your red wire (which, of course, would be connected to the rest of your wiring, not left hanging like in my clip here). In this diagram, the switch would short the black/white pair to ground when it's pulled. So, you can use this for your neck pickup.
For your bridge pickup, you'd do the same thing - connect the back and white pair to the middle terminal on the push pull switch. But instead of connecting the bottom terminal to ground, you could connect it to the red hot wire from your pickup. That way, when the pot is pulled out, the black/white pair are shorted to the signal wire and the "front" coil is left active.
That's very long winded but hopefully it helps.