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My iphone 6 got this problem where the phone will shuts off completely and then after a second or two, the apple logo will appear whenever I plug the usb cable in. This happened with different types of cables and even without an energy source. I’m sorry for my bad English for it is not my first language And I would really appreciate your help

Please try to use an Apple original or MFi certified cable to see if the issue persists. If you don’t have an original cable, then use one that works well with another device. If known-good cables don’t change anything, then you have a hardware issue with the phone. The first thing I would suspect is the Lightning Port. You can find a replacement guide here.