So, you don't even get a click sound from the starter relay when you push the button? If you do hear a click, the starter relay is bad, or the starter motor won't run. No click, and you will have to trace the wiring.
You should have a wiring diagram, or schematic, usually found in the service manual. The starter relay, or solenoid, needs power to switch the large battery cable to the starter motor, so there is a path from the battery and through the starter button switch and starter relay coil. In this path, there may be a safety switch, or two, to prevent cranking the motor if it is not safe to do so, like it is in gear. The diagram will show what, if any, safety switches there are, like a switch on the clutch lever, or a relay controlled by the neutral switch and side stand switch. My old CB450 has none of these, and the relay gets coil power directly from the battery; the other side of the coil goes directly to the starter button, which grounds the wire when pressed. Simple, easy to figure out. OTOH, my Suzuki Boulevard powered the starter button from the run/stop switch, which is powered from the ignition switch. From the starter button, it goes to a switch on the clutch, so the clutch lever has to be pulled in for it to go any further. From there, it goes to a relay, which is turned on if the bike is in neutral, or the side stand is up. From that relay, the power then goes to the starter relay to crank the engine. Way more complicated, so many more things to test.
You should have a wiring diagram, or schematic, usually found in the service manual. The starter relay, or solenoid, needs power to switch the large battery cable to the starter motor, so there is a path from the battery and through the starter button switch and starter relay coil. In this path, there may be a safety switch, or two, to prevent cranking the motor if it is not safe to do so, like it is in gear. The diagram will show what, if any, safety switches there are, like a switch on the clutch lever, or a relay controlled by the neutral switch and side stand switch. My old CB450 has none of these, and the relay gets coil power directly from the battery; the other side of the coil goes directly to the starter button, which grounds the wire when pressed. Simple, easy to figure out. OTOH, my Suzuki Boulevard powered the starter button from the run/stop switch, which is powered from the ignition switch. From the starter button, it goes to a switch on the clutch, so the clutch lever has to be pulled in for it to go any further. From there, it goes to a relay, which is turned on if the bike is in neutral, or the side stand is up. From that relay, the power then goes to the starter relay to crank the engine. Way more complicated, so many more things to test.