If you know someone really well, you might have a decent chance of knowing when they are acting unusual. Such is the case with parents and teenagers, but suspicion often gets the best of the parents and they misinterpret the cues that they spotted.
A good method would seem to be to catch someone on a logical contradiction, but that has issues when someone is under emotional distress. And emotional distress tends to appear often when someone is innocent but is afraid the evidence points towards them. The family cat may have knocked over Mom’s favorite vase, but the child is less interested in the truth and more interested in avoiding a spanking- so they embellish whatever story they had (in a misguided attempt to make it more believable), which introduces contradictions that the mom notices. The kid technically lied with the embellishments but was innocent of breaking a vase, and gets spanked when they didn’t deserve it. Then imagine the kid’s emotional distress being even higher the next time something happens.
I’m sure that there are a lot of learned people out there that study lying, but I agree with the article’s main theme that most of us can’t reliably tell when our why someone is lying, and we’re overconfident in our abilities.