Some might see this egg served in some Japanese Ramen Restaurant. Some restaurants call this lava egg. It does looks like oozing lava. ;) It's commonly known as ni-tamago anyway. This is very much like the Chinese braised egg 蓾蛋 except you don't cook the eggs in the marinade cos you want to retain the runny egg yolk and not to harden it. You just keep the egg in the marinade and let the marinade slowly do its work.
If you have problem squeezing out the air of the zip-loc bag, just let it be. You just need to shake/turn the eggs occasionally so the eggs will be evenly coated and tinted with the marinade. If you marinate the eggs overnight in the fridge, bring out of the fridge at least 1/2 hour before serving so it will not be too cold. Unless you don't mind eating cold eggs.