Libra Moon and Libra Rising are often lumped together, but they describe different layers of a chart.
Your Moon sign is what you need to feel safe. A Libra Moon needs balance, fairness and calm company. Conflict feels physically draining, and they often process feelings by talking them through with one trusted person. The risk is people-pleasing: keeping the peace at the cost of saying what they actually need. More detail in this Libra Moon sign meaning guide.
Your rising sign (ascendant) is how you come across and how you approach new situations. Libra Rising reads as polished, diplomatic and easy to talk to. People assume they are relaxed, even when the inner chart is far more intense. Because the ascendant depends on exact birth time and place, it changes roughly every two hours, which is why two people born on the same day can have very different risings. Check yours with a rising sign calculator.