Usually in english, a cable is a product sold by the foot with several wires bound in one jacket or bundle.
The fat blue yellow green wires go to the phase wires of the controller, same color.
The thin blue yellow green should go to the thin blue yellow green of the hall effect pickup inputs to the controller.
There should also be a thin red & black wire, to power the hall effect sensors. Usually the 5 thin wires are in 5 of 6 holes of a 6 pin rectangular connector. You have to match the colors, although 3 brands of hub motors have used the same color location in the block. If the new motor has the round juli connector and the controller has the 6 pin rectangular connector, you have to buy an adapter from ebay or (a mythical generic ebike parts supplier. The only ebike parts suppliers I've found in USA carry bosch or bafang parts, whoopie). Watch carefully, the first adapter I bought had the wrong sex of juli connector. The adapter cables also come in 4 lengths, too short. much too short, way way too short, and just barely enough.