The Edens One faction is mainly considered to be a faction of robots formed by Y/N with his spaceship: the Edens One. 

During his time on his Earth, 20,000 years in the future, he built the Edens One using engineering and technology. As a large spaceship, the Edens One can fly through space and enter the atmosphere of a planet with ease. 

In terms of weaponry, it is equiped with powerful Ether cannons which can penetrate any shield, is outfitted with defenses against missiles, has a stockpile of armed, unmanned drones which can be sent out to do battle and are large enough to carry a person on top of them, and fires a destructive energy beam from the mouth at the front of the ship. 

Y/N was able to built his armor before calling himself Over Nu Etherion Void, the Mechanical King.

His faction is mainly made up of robots, but he allows some humans to join him if they proved themselves loyal to him. 

Yuta and Kodama Melone: Once OSF soldiers working for New Himuka, until they gained feelings for Y/N proved themselves to join his faction. 

The first robot Y/N created was Athena, a female android whose body consists of machine parts yet made to appear as Human-like as possible along with wielding the power to control the feelings and emotions of others, such as sadness to force people to cry involuntarily

Next up are the Four Dark Stars and the Shining Stars: The royal guards which were humans like Y/N before being reborn as androids.

The Edens One also has the Oracion Seis Galactica, a group of six powerful machines. 

1. Joker Helix: Joker was originally a game engine by a scientist, but grew beyond her programming and spread to other computers across the cosmos, gaining a body of her own. She comes equipped with a Delta Time Reactor, which slows time down within a given area until it's virtually frozen.

2. Lightning Law: Law has power over electricity, with his Metal Gore Hypnos ability allowing him to manipulate machinery to his will.

3. Lady Freyja: A legendary sword fighter who stands above any others. She wields the Hundred Arms, a shapeshifting arsenal of every known armament.

4. Deadend Crow: The Titan of Eternal Darkness, a 420-meter-tall android with a body like a living fortress. He is most infamous for causing the Bloody Atmos Day Incident, a terrorist attack on the country Russia that resulted in one million human casualties.

5. God Acnoella: The Mother of Dragons, an android woman who uses the Möbius System to mass-produce a legion of cybernetic dragons under her thrall.

6. Cure: An android with the power of regeneration. He is the mastermind behind several wars who maintains a twisted balance of "light" and "darkness" in Earth. 

And last, but not least, he created two boss robots known called Galleom and Duon. (based from the Super Mash Bros series) 

The robot soldier types of the Edens One faction: I've a few ideas that I know your opinion. 

1. Separatists Droids from Star Wars

2. Hyperion Bots from Borderlands

3. The robots from Helldivers 2

4. The robots from Hi-Fi Rush

or 

5. Vex from Destiny

That's all for now, let me know at the comments below, peace out!