What you have given me here is your Trinity, and it's no more complex than anyone else's. Now, if you feel you are a more complex person, all ten planets are in a zodiac sign in your Natal Birth Chart. So maybe you have a stellium--a group of three or more planets in the same zodiac sign in a certain house, aspected by a difficult planet. But I can't tell that from a basic Trinity.
The Capricorn Sun means you are an Earth sign, organized and reliable, ambitious, and willing to work hard towards your goals. This is a leadership sign. Security is important to you, and you are somewhat conservative. You have an earthy kind of sensuality, and others trust you. I don't know what house it is in, so can't tell what area of your life it lights up or makes so important to you. This is why these Trinity questions mean very little, but I still get hundreds of them, some the same in the same day. Everyone wants to think they are unique--and we are. But not because of our astrology trinities.
The Gemini Moon rules your emotions. Gemini means that when it comes to security and relationships, you are more ruled by your head than your heart. But you are a good communicator, intelligent, well versed in many topics, and lively to be around. Libra rising is the way others see you before they get to know you. Libra is another leadership sign. You do want to be working or in a love relationship as a partner, Libras love partnerships. So on the surface you are a peacekeeper and get along well with others. Even though you want to get your own way, it's sort of an iron hand in the velvet glove kind of leadership. So having both Libra and Capricorn in your makeup, you do have goals you want to achieve. Don't let your more flighty emotions turn you away from them.