Since this fan came from inside a PSU, its wiring and connectors are NOT standard for use on mobo headers. I fully expect that the one with TWO holes is for the fan MOTOR, and that is designed for 12 VDC max power, with polarity important between its two leads. This operates like an older THREE-pin fan in the sense that its speed can be controlled only by varying the VOLTAGE supplied to it from a mobo header. At the header, Pin #1 is Ground, Pin #2 is the (variable) DC Voltage supply and Pin #3 is the speed signal returned from the fan. This fan has NO Pin #3; in fact, its connector will NOT fit onto the first two pins of a mobo header, so you will need to do a small custom wiring mod to fit the proper connector on it with the wires connected in proper polarity.
The other fan cable has four holes and LIKELY is for a plain RGB lighting system, NOT the Addressable RGB (ARGB) system. Again, we have no info on which wire is which on their connector, so it will require some experimentation to discover that unless Thermaltake Tech Support can help. Then you'd also need to custom attach a proper connector. To start, look closely at that connector for any labels. A 4-pin plain RGB system normally has lines for +12 VDC, G, R and B in that order.