iPhone 5s only charging with cheap plug and not using Apple one

Hello!

My iPhone 5s is only charging if i use cheap plug but not using Apple one. Here i explain the whole story:

I bought an iPhone 5s which was not charging. I was first hopping that i could clean the lightning port for fixing the problem (and making money easily :) ) . Cleaning the port did not change anything. Then i bought and install a new lightening connector, nothing change and new battery. Then the phone charged but the battery life was 3 hours. I suspected my cheap plug was reponsible for poor battery life so i bought an Apple plug. Here surprise the iphone is not working with the genuine plug. "accessory not correct" message and not charging. If i use the the cheap plug it's ok...

I suspect motherboard problem but what do you think?