You’ll want 0-out the audio on the source effect if you don’t any audio to go to the output for the audio capture component, that will effectively mute it after your source effect is processed.
Edit, something like this in the ProcessAudio callback:
for (int32 Sample = 0; Sample < InData.AudioFrame.Num(); ++Sample)
{
OutData.AudioFrame[Sample] = 0.0f;
}