I want to know what kinds of Pantheons are in your world and how your Dm handles them 

I call mine the lux Pantheons and it has 9 gods/ goddesses witch are Argentum, Silva, Cuhullin until I find a better name, viatorem,  gloam, Aurora, magus, Vulcan, Nix

Feel free to ask questions about them

Kakanna, the shalona goddess of birth; is a pantheon of a race I made up called the shalona. She uses the souls of those sacrificed or those who died on her home plane, and reincarnates them into new offspring, the offspring won't recall anything of its past life, but gives it traits and personality.

Does the shalona have any other gods or just the one?

I'm using a combination of Mongolian, Babylonian, and Cthuhu mythos in my campaign, depending on the region. For now, I think I'll stick with the first two.

 Anyway, here's a chart of the different deities in my campaign, all taken from lesser known historical pantheons:

How would they be worshipped. Like they are on earth/Lovecraft or any new ways?

In my world, worshiping a deity is pretty standard. Standard deities from my campaign (Cthulhu Mythos deities are different) come from locations blended from the First Edition Manual of the Planes and locations from the actual mythos. The Babylonian deities live in Cedar Forest, a mystical forest that starts in Mechanus, spreads to Arcadia, takes a detour through the Astral Plane, then ends in Elysium. This is where the gods of the Babylonian mythos live. Their Mongolian counterparts would live in the sixteen layers of Ucmag, Mongolian heaven, which replaces The Beastlands. The underworld is ruled by Nergal and his Mongolian form, Erlik. The Mongol name for this place is called Tamag.