So, you and maybe I are confusing some terminology. So, texturing is applying a texture to a mesh. Making a material is something that has to be done in UE4, as you will use the material tools to customize for the look you want. Do you want a cartoonish character? A PBR character? Those choices will determine the material setup you use.
The texturing will be done in another program. You can do it in Blender, as it has a painting mode that is similar to mudbox/zbrush. Or if you are willing to spend a few bucks, Substance painter is an awesome tool to texture characters. It has the benefit of having a UE4 look preset, meaning what you see in Painter will look close to the default material in UE4, and it is a more polished tool. It can also export exactly the right maps for UE4 as a preset, vs having to set all of that up in Blender.
Or, you can take those current textures from MakeHuman, and edit them in photoshop or the gimp. This is the traditional workflow, if not as easy to see at first.