While many of the other guides for this achievement seem to include making high pitched noises and playing different tracks into your microphone will eventually get you this achievement, I found this method to be (possibly) 100% successful.
I used it 15 times in a row with a lie registered every single time.
The easiest way to do this is in a 2-Player game of the shortest length. When creating the profiles, do NOT do voice calibration.
The Method:
Hold your mic against your throat so it will pick up your vocal chords while humming. As soon as the timer begins, start with a high pitched hum and hold it until about 70-80% of the blue bar fills up. Once the bar fills up to that point, drop the tone of your hum to a deeper, bass-like hum until the bar fills.