In Rosh Hashanah, all the life energy of the entire universe undergoes a big reset and renewal, a new light that has never been before in the world, comes down after Israel blows on the shofar. On this day, God completed all the acts of Genesis, for six days. On the sixth day, creation was completed with the creation of the first man, and that day was Rosh Hashanah. Just as the human head activates the entire body, so on Rosh Hashanah everything that will happen during the year is determined.
It is also the anniversary of the creation of Adam and Eve. Right after their creation on the first Rosh Hashanah, they were commanded to observe six laws. These are the six laws that Adam was commanded:
Idolatry: Not to worship idols.
Blasphemy: This law prohibits dishonoring the name of G-d.
Murder: Not taking human life.
Theft: Not stealing another person's property.
Adultery and incest: To avoid immoral behavior.
The establishment of a legal system.
The seventh law was given to Noah after the flood: Not eating the flesh of a living animal.
In other words, the seven laws include:
1. Knowledge of the Oneness of G-d. To learn about the infinite divine unity of G-d
2. To worship and respect G-d’s holy name.
3. Respect the sanctity of human life.
4. Respect the rules of the traditional family and live according to them.
5. Respect others' property.
6. Respect all creatures.
7. Establish a judicial system
Noahides are not allowed to observe Shabbat or Jewish holidays in the same halachic manner as Jews do. However, it is permitted for Gentiles to recite psalms, which apparently, could be beneficial in Rosh Hashanah.
The story of Adam primarily focuses on his role as the first human being in the Garden of Eden and right in the beginning he was given six out of seven commandments (Adam was not permitted to eat the flesh of animals). The purpose is to create a dwelling place for G-d. This is the role of our generation, to complete this mission and bring about redemption and the revelation of Moshiach by fulfilling the 7 Noahide laws.