Batteries xbox?
Are these batteries rechargeable with usb cable without me having to worry that they will break.
The xbox one shows that the controller is charging
Most likely NOT. Should be on the battery. If there isn't something from Accu and Recharge, then not.
Batteries can't be charged. You need a battery.
Why is it shown on the xbox that my controller is charging and if I remove my cable more battery than before?
Show the thing from the other side, please. On this the label says nothing about the type of part.
Addition: I see two dates at the top. This could be the date of production and expiry, which indicates a primary cell, i.e. A normal battery. These should not be charged, even if this works within certain limits. However, there's a risk that the batteries will leak and damage the device.
