First of all, does your mobo have a 3-pin Addressable RGB (ARGB or ADDR RGB) header? NOT the 4-pin plain RGB type, that is. I'm going to do a bit of guessing here because the Hub you have appears to be an older design, while Aerocool has a new model with a closed case and side ports that has some extra features maybe. Anyway, with the Hub you have, there's a power input cable at one end you have connected to the PSU. At the other end there are two connector pins sets, one with 2 pins that has a connector on it marked LED/RGB SW. Where does that cable go? I presume it connects to some button you push to change the displays, maybe your case's front panel Reset switch. Beside it there is a 4-pin connector marked PWM/DATA on the board. Where does that go? I suspect it ends in TWO separate connectors, one of which goes to a mobo SYS_FAN or CHA_FAN header. That is how it gets from the mobo the PWM signal to control fan speeds, and MAY be how it returns a fan speed to that header. The other connector on that should be a 3-pin female (with holes) connector for a mobo ARGB header. In fact, in the newer model, that cable has TWO connectors on its end, one each for two different types of mobo ARGB header, and you use the one that fits your mobo. HOWEVER, that can ONLY be done if you do have a 3-pin ARGB header. If you have no RGB header, or if your header is of the OTHER type with FOUR pins, you cannot use that. IF you have a 3-pin ARGB header, then you must plug that cable from the Hub into it.
Now, that still does not get you control of the lights immediately. The control signals the cable brings to the Hub are sent out of the mobo header by a lighting control software utility that came on the CD with your mobo - something like MSI Mystic Light, ASUS Aura Sync, or Gigabyte RGB Fusion. You have to install that tool and use it to send out control signals. If you do that, you do NOT need to use the pushbutton control system.
Now, the matter of fan speeds. Any fan header can deal with a speed signal sent back to it from only ONE fan. So any decent Hub will only send back the speed signal from ONE of its fans on ONE of its output ports, and ignore all the others. Your mobo will only be able to tell you that one fan's speed, and the others never will be "seen". I assume that the part of the cable from the PWM/DATA port on the Hub that does plug into a mobo fan header also carries back to that header one Hub fan signal, although that is NOT stated anywhere. But even if it is, then you need to figure out WHICH of the ten Hub output ports will send back its fan's signal. Only one of them can do that, and unfortunately there is no indication which. It MIGHT be one of the ports on the four corners of the Hub board. So, try to move one fan's connector around the Hub's ten ports, one port at a time, until you can "see" a fan speed shown for the particular mobo fan header you are connected to.