In general, the patch cables that you use with your Ethernet connections are “straight through“, which means that pin 1 of the plug on one end is connected to pin 1 of the plug on the other end.
For patch cables, 568-B wiring is by far, the most common wiring method. Virtually all pre-assembled patch cables are wired to the B standard. There is no difference in connectivity between 568-B and 568-A cables. Therefore, a 568-B patch cable should work fine on a 568-A cabling system, and visa-versa.