It is normal for the motors to beep a few times during startup; usually playing a melody. If they continuously beep at regular intervals then it means the ESCs are not getting any RC signal. Check and re-check your wiring!
Ensure proper board operation by using a battery at the same time as USB and use the MultiWii Config GUI to ensure the board is communicating OK. If the Quadrino is communicating with the GUI then it is definitely a wiring issue as the Quadrino sends the RC signal from the moment it powers up.
Check the following: