Default Power bank not working correctly

Hi, yesterday I bought a power bank, an external power source which I can take everywhere I go.
As soon as it arrived, I charged it for 4 hours. The power bank includes a cable which is used to charge the power bank (through wall charger) and to charge the phone through the power bank.

The following is happening:

When I connect the power bank to my phone, using the original cable, the phone is not charging

When I connect the power bank to a Samsung phone using the original cable, the phone is charging

When I connect the power bank to a Samsung phone using my stock charger cable cable, the phone is charging

When I connect the power bank to my phone using my stock charger cable cable, the phone is charging.


How do i get it working using the power bamk cable? I don't want to use my charger cable because it is too long and I need it for charging my phone the normal way
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My phone specs:
Sony Xperia S LT26i
Android 4.1.2 Jelly Bean
eXistenZ Ultra 1.0.0
Root access: yes
CWM installed: no
Bootloader: locked, but unlockable