Let’s look at important things here –
Moon - Moon represents Mind, Emotions, Mother, Local Government, Peace of Mind, Home Environment, Water, Milk etc.
Uttara Phalguni - Uttara Phalguni is nakshatra of hard work, realistic approach and practicalities of life. It is also nakshatra of agreements, deals and conflicts. For detailed information, please check this - https://www.astrosaxena.com/uphnaksh.
Leo - As Uttara-Phalguni is a part of Leo, Leo sign and its representations become important. Leo is 5th sign of zodiac belt, hence it represents the things associated with 5th house of horoscope like Love, Creativity, Arts, Being on Stage etc. Besides that, Leo is basically the Lion. This is the sign of feeling like King or Queen. Also, it is a sign of independence, Confidence, Ego, Self Esteem etc. Leo is consisted of 2 and half Nakshatra namely Magha, Purva-Phalguni and Uttara-Phalguni. Leo's lord is Sun.
Virgo - As Uttara-Phalguni is also a part of Virgo, Virgo sign and its representations also become important. Virgo is the 6th sign of zodiac belt, hence it represents almost all the things which are represented by the 6th house of horoscope like Debts, Diseases, Obstacles, Serving the under-privileged, Service Life, etc. Besides this, Virgo represents analytical or critical skills of people, being perfectionist and healing abilities. Virgo's basic representation is the lady coming in boat with wheat and herbs in her hands. So, Virgo is basically a sign of healing. Virgo consists of next set of 2 and half nakshatra. i.e. Uttara-Phalguni, Hasta and Chitra. Virgo's lord is Mercury.
Sun - As Sun rules Leo and Uttara-Phalguni, Sun's position and dignity is important to know about the overall functioning of any planet in Uttara Phalguni/Leo.
Mercury - As Mercury rules Virgo, Mercury's position and dignity is important to know about the overall functioning of any planet in Uttara Phalguni/Virgo.
Houses Involved – Also, we can’t afford to forget the houses involved as a planet can be ruling different houses and sitting in different house for every person as per ascendant and planet’s position. To know overall affect, we have to consider the houses involved as those areas of life are being impacted.
Interpretation of Moon in Uttara Phalguni Nakshatra – After a Royal Mind (Moon in Magha) and Creative Mind (Moon in Purva Phalguni), it is a mind inclined towards hard work and bringing plans to action. It shows an analytical mind and perfectionist mind too as Uttara Phalguni spreads up to Virgo, a sign of analysis and perfection. They can be very good at dealings and bargains. They can be seen in financial or legal field of work but wherever they are working, they can rise only after immense hard work. They can also be very practical and realistic about life and others may have a feeling that they are clever or cunning. In Leo side of Uttara Phalguni, they can be driven towards authority through hard work but in Virgo side of Uttara Phalguni, person's mind is solely driven towards perfection through hard work. As Virgo is sign of conflicts and obstacles too, Moon in Virgo side of Uttara Phalguni also feels that it had to deal with more obstacles than other people. The hard working and perfectionist nature is normally inherited from Mother.
Role of Sun – Sun placement is important to guide Moon in right direction, being Uttara Phalguni and Leo's lord.
Role of Mercury - Likewise, Mercury placement is important to guide Moon in right direction, being Virgo's lord.
Other Factors – And of course, we need to consider conjunction, aspects, house lordship, house position and dashas etc to know the exact results of Moon in Uttara Phalguni. So, we always need to take a holistic view of chart rather than just 1 planetary position.