You get rid of those lines by correctly using light to shoot the photo.
The deep dark lines are shadows. Both of them have dark eye sockets (raccoon eyes) and he also has dark shadows under his eyes.
It looks like it was an overcast and the clouds become a huge main light that is essentially directly overhead regardless where the Sun acctually is.
Light applied from diredtly overhead is a bad angle.
So the solution is to use fill light. Fill light can be froma reflector or from a flash unit. On an overcast day a reflector doesn't work vey well unless you have a really big reflector, so flash is usually the best answer.
By definition fill light is on, or very close to, the lens axis.
You could have used thw pop up flash unit on your camera. Most DSLR's put the built-in flash in manual mode and you can use less than full power so the light from the flash isn't as harsh. You would only want to use enough flash power to fill those deep, dark shadows and raccoon eyes.