I listened to the audio. The 10 commandments were mentioned, but my guess is that any content that is read from the old testament or discussed would serve the same function.
I listened to the first segment. The examples they gave for decreasing lying were the Ten Commandments and the "MIT honor code". So any reminder of morality worked. I think this is the point of prayer, to remind oneself of whatever is the content of the prayer. Serious religions encourage daily prayer and this is something we could consider as a mitzvah. No religion, not even the Karaites, use the Ten Commandments for this. There are other parts of the Old Testament that are more effective. My personal favorite is Psalm 1.
Okay perhaps what is needed is something concise. Discussion of broad principles is good for stimulating thoughts but not conducive to memory. So a long random Parsha doesn't work. If something is also rhythmic, like a song, it's even better for memory. I just reread Psalm 1 and I like it too.