The mic input has a signal and a ground. The The signal line also outputs a 3V3 V bias voltage supply, this is to supply power to some types of microphones needing this power. This This is a very weak supply, provided through something like a 2.2k resistor.
For you to feed a signal into the microphone input, you can simply connect the output of your circuit straight into the mic input (as long as it's output voltage is not too high, - I haven't calculated the output voltage of your circuit) straight into the mic input. The OPop amp has enough drive capability to sink the 3V3 V bias voltage.
For good measure, you could add a coupling capacitor in series with the signal, then. Then your OPop amp won't need to sink the bias voltage supply.
You obviously need to supply the 9V9 V power for your circuit from elsewhere.