How to move textured objects from ue4 project to another ue4 project?

Coloss85, your model does not have applied material in content browser.
To fix this:

  1. Double click on static mesh to open Asset properties
  2. Apply material to static mesh in this window
  3. Now you can select only this static mesh(Without additional selection on materials and textures) and migrate whole “pack” to another project!

Basically you’re migrating asset from Content browser, not from Viewport