How to do lighting in this way?

i wanted to make a game for my college project and came accross unreal engine, im new to game development 3d modelling etc so go easy on me :P. (although i know all the basics and have made a few basic games)
i want to make a game with a similar art style to a pc game called “parallax”, here is a screenshot of the game:

so this is basically it, the game has solid colored objects no shadows , how do i achieve this sort of global lighting?
also the player can switch worlds, in which the colors black and white switch places (you can watch a gameplay to get an idea). i know how to accomplish the logic, but dont know how to do the art style of solid black and white.
i hope someone can get me started, thanks in advance!

NOTE: i only need help with how to accomplish the look, not the blueprints and stuff. i.e the lighting or meshes etc

You can make a new level with no lightning and set your materials in the material editor as unlit (by changing the Shading Model, under the Materials tab on the Details panel) and plug the texture in the emissive color.

Now for the World teleport as seen in the game you may get some reference about Scene capture 2D actor and "transfer the image of one world to that 2D capture texture and assign to the proper mesh and try some blueprint logic to make the 2D Capture actor rotate as the player rotates (It might be just a workaround thou) and for the teleportatrion afterwards. This might be of some help (thou I still have dificulties to understand blueprints):