Let’s look at important things here –
Moon - Moon represents Mind, Emotions, Mother, Local Government, Peace of Mind, Home Environment, Water, Milk etc.
Krittika - It is nakshatra of criticism, cutting things, surgeries and bloodshed. Also, it is nakshatra of child care, secrecy, research, protection and foster parenting etc. It spreads from Aries to Taurus. It is ruled by Sun. For more info on Krittika, please check this link - https://www.astrosaxena.com/kritnaksh .
Aries – As Krittika is part of Aries, Aries sign and its representations become important here. Aries is the 1st sign of zodiac belt, so it represents the things and energy of 1st house of horoscope like Self, Personality etc. Besides that, Aries is the sign of our individuality, our aggression, our actions, our competitive ability etc. Aries is ruled by Mars and it is consisted of 2 and half Nakshatras named Ashwini, Bharani and Krittika.
Taurus - As Krittika is also a part of Taurus, Taurus sign and its representations become important here. Taurus is the 2nd sign of zodiac belt, so it represents many things related with 2nd house of horoscope like, Hoarded Wealth, Assets, Savings, Finances, Luxuries and Liquid Money. All in all a sign related with luxuries and all the conveniences of life. Taurus is consisted of 2 and half Nakshatras, i.e. Krittika, Rohini and Mrigshira. Taurus' lord is Venus.
Mars – As Mars rules Aries, Mars’ position and dignity is important to know about the overall functioning of any planet in Krittika/Aries.
Venus – As Venus rules Taurus, Venus’ position and dignity is important to know about the overall functioning of any planet in Krittika/Taurus.
Sun – Likewise as Sun rules Krittika, Sun's position and dignity is important to know about the overall functioning of any planet in Krittika.
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 Krittika Nakshatra – When Moon is in Krittika Nakshatra, it can be considered as a very good position for Moon as Moon is in friendly sign in Krittika/Aries, it is in exaltation sign in Krittika/Taurus and it is exactly exalted at 3 degrees of Krittika in Taurus sign. So, from most of the sides, it is a very good position for Moon to be in. As Moon represents Mind and Krittika is nakshatra of perfection or precision, it shows a very perfectionist type of mindset. In Aries section, it shows an ambitious person who wants to commit no wrong whereas in Taurus section, it can show someone very particular about his finances, wealth and securities. In Aries section, they can be inclined to deal in matters of tools, equipment and weapons. Professionally, the most suited career for them is in medical side/child care/nursing or anything to do with raising children. It is due to the mythological story involved and Moon's nature of nourishing and taking care of others. In Taurus section, they can be in financial side of work because of Taurus nature. Best results of Moon in Krittika can be in Taurus section as Moon is exalted there. They can be very critical and analytical by nature too.
Role of Mars – Again, the role of Mars will be very important if Moon is in Krittika/Aries as Mars rules Aries.
Role of Venus – Likewise, Venus's position will become important in functioning and results of Moon in Krittika/Taurus as Venus rules Taurus.
Role of Sun - As Sun rules Krittika, its position is also important to finally decide about the results of Moon in Krittika.
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 Krittika in either of the signs. So, we always need to take a holistic view of chart rather than just 1 planetary position.
Conclusion – So, this is how I see Moon in Krittika can work in a chart.