Lagi = symbolically means Sāmoa and literally means sky. It is linked to the realm of heavenly, godly or divine beings. It also references the future and is associated with taboo and chiefliness.
Maama = symbolically means Tonga and literally means lights. It is linked to earth and the domain of earthly, humanly or secular beings. It also references the present and associated with enlightenment.
Pulotu = symbolically means Fiji. It references the past and is regarded as the ancestral homeland and after-world of the peoples of Maama (Tonga) and Lagi (Sāmoa).
From their website, https://www.lagi-maama.com/