This topic was a favourite amongst "fellow Nerds" at Be'er Shiva University, in Israel, many years ago. It was agreed almost universally that a laser-type or maser-type "weapon" would produce an audible "Bang," like our contemporary projectile weapons. A VERY audible "bang," by all estimates.
Admittedly the photon behaves as though it is "massless," but remember elementary Physics: *Photons/light behave as BOTH a wave, AND a particle.
Photons or microwave energy at sufficient amplitude to serve as a weapon would obliterate everything in the beam's path. At the literal "speed of light." The virtually-instant obliteration of all air molecules along the beam path would produce the same sound as a lightning bolt produces, passing between clouds or clouds and the ground: A really big "Bang."
The impingement of the energy-beam upon the target would initiate the obliteration of the target's structure at the site of the impingement. As a so-called "weapon-grade" beam-weapon would have to produce very rapid vaporization of the material of the target for it to be effective, there would be a definite audible "signature" to the impingement: The "Bang" of destruction.
This noise would be augmented by the out-rushing of ionized vapors consisting of partly-combusted elements of the target's construction or makeup at very high velocity--- at what amounts to an "explosive velocity." Liberation of gasses---ionized or not---from an explosion-site produces a "Bang."
At the moment the beam broke through the "skin" or "armor" of the target there would be a very rapid in-rushing of super-heated ionized particles and associated vapors that would serve to flash-consume any atmosphere or vapors within the target as well as flash-ignite any combustible materials (plastics, fuels, explosives, flesh, etc.) within the target. This very rapid combustion of the contents of the target would constitute an "explosive event," resulting in a "Bang."
When the beam is discontinued, the ambient atmosphere would rush back to occupy the void created by the annihilation of the atmosphere by the activation of the beam. Air rushing back into a void or area of extreme-low-pressure produces a "Bang."
An energy-weapon would, evidently, produce an audible noise similar to an explosion At Every Phase Of Its Operation. In all practical respects, these "reports" would probably overlap a bit, unless the beam impinged upon a very, very hard---or thick---target, which had slowed down the penetration of the beam into the core.
Then, there might be multiple distinct explosive noises: The first "Bang" would herald the firing of the weapon, and the second (or secondary) "Bang" would be the destruction of the target's contents. This would be much like the sequence of "reports" when a direct-fire artillery-piece is fired at a tank--- one report at the moment of discharge of the weapon, and a later report when the target was destroyed.
There doesn't seem to be any way around the at least theoretical production of "gun-like discharge sounds" during the deployment of an energy weapon such as a very powerful laser or maser.