Professor Lucas Lepri demonstrates guard passing techniques against a deep lasso guard. He explains that walking to the side of the opponent's hip can help to smash the guard and initiate the pass. He emphasizes the importance of head positioning, placing the head between the opponent's arm and ribs. Lepri details how to hold the opponent's arm, pinch, circle, and complete the pass. He also mentions an alternative option if the pass is initially unsuccessful, where he can trap the leg and transition to a knee bar.