Orders

Once you hit a little higher than 2000 prestige you unlock the Hall of Greatness; and your Order. Your order is where you manage your temples and adepts. You can get to the page with all your Order information by pressing L.

This is the Summary tab. On the left shows you the bonus prestige from your patrons, chapels, and provinces. In the middle you have what Rank your Order is and how many followers you have and how many you need to get to the next rank. Underneath that is how you will know if you have new adepts waiting at your statue in the Hall of Greatness. On the right you have a basic summary of your adepts (how many are on missions, etc.) and then Mission summary on the bottom, (how many missions you have going, if any are complete and whether they were successful or not).

ORDER RANK:
Orders go up in Rank when you reach a certain number of followers. The higher the rank, the more followers you will need to get to the next rank. How many Adepts you can have at one time, how high a level they can get to, and how high a rank you can make your temples are all tied to your Order rank.

PROVINCES:

On the left shows you all the provinces and their rank and quality. (the little number on the right corner of each province.) In the middle here you can see all the info about a specific temple. In this example it is Dawn Plateau. It shows how much might, stamina, and the health bonus i am getting from this particular temple and how much i would get if I were to give it another rank. To upgrade your temple rank you must first have a high enough Order Rank, and have a certain greatness. Greatness is gained from special nodes in the Upper Ascension Atlas, they always require blue sparks. (picture below. the node with the square)

Resources needed to upgrade your temple rank are HOLY TEXTS and GIFTS. Holy texts can be either gotten through missions in the divine observatory (they count towards your weekly credit cap) and can be bought in the in game store (hit N, Resources) for either Credits or Argents. Gifts are rewards from adept missions only.
The Temple Quality needs to be upgraded to be able to build a chapel within that province. The higher you upgrade the quality of your temple the higher you will be able to upgrade the quality of the chapel within it. In order to upgrade the temple you must acquire a rare resource, for the first upgrade you need an Okki Tablet, then for the second a Founder's Ring, etc. You can tell what it'll upgrade something to because of its quality color. Okki tablets are always green and will upgrade your temple to green quality, Founder's Rings are blue and will upgrade your temple from green to blue, Silver Pommel is purple and will upgrade your temple from blue to purple, etc.
When you build a chapel you get to pick which bonus you would like to receive from it. To be able to build it you must first upgrade your temple quality to green. Once you have a green quality temple you need another Okki Tablet to build your chapel.

After you have your chapel built to be able to upgrade it for a better bonus you must once again upgrade the temple quality first. To gain the full bonus from an upgraded chapel you must also have an adept that is of the same quality or better. So if you want a green chapel your temple quality must be green and if you want the max bonus you must have a green or higher adept heading it, if you want a blue chapel, your temple quality must be blue and if you want the max bonus you must also have a blue quality or higher adept heading it, etc. (below you can see that i have a green adept heading a blue quality temple and am only getting the green bonus of 3.8%)

(below you can see a blue adept heading a blue quality chapel and can see I am getting the full bonus of 7.5%)

Recap on Resources needed:
Holy Texts: Used to upgrade temple rank and gained from quests in the observatory or bought in the store
Gifts: Used to upgrade temple rank and gained from having adepts completing certain missions.
Okki Tablets: Used to upgrade temple quality and gained from completing missions in the observatory (these will spawn on missions as an additional reward, spawns once every 2 days.)
Founders Ring: Used to upgrade temple quality and gained from completing missions in the observatory (these also spawn on missions as an additional reward, and also spawns once every 2 days.)