It used a micropulse of IR laser. Your eye couldn't see it, nor focus it properly. However, it had just enough power to overheat and damage the mosquito wings.
I believe the issue was with the targeting. It could don't, but not cheap enough for the mass deployment they intended. Mosquito nets were far more effective, once cost was accounted for.
Most of the problem with lasers come from focusing them. The eye is incredibly good at it. This means even a small laser pen can reach MW/m^2 ranges by the time it hits the retina.
IR is a different story (at longer wavelengths). Without the ability to see it, our eye will not attempt to focus on it. Also, our eyes lenses are not particularly transparent to it. 3rd, the ultra short pulses mean that there is no time to focus.
As for the mosquito, the laser is tuned to a frequency that is strongly absorbed by their wings. Given their size and how delicate their wings are, a tiny amount of energy can cause significant damage. Conversely, the same energy on our eye will just cause a slight amount of heating. The bulk mass of the eye will absorb this fine, with no damage