Can you give more details?
Plastic vs metal boxes also make a diff.
Are the walls where outlet boxes go to be covered in sound deadening materials?
There are many ways to sound deaden boxes, but not a lot of products that have good fire ratings.
Automotive uses undercoating, Dynamat, LizardSkin, and even FlexSeal rubber spray, but these may not be good in a fire.
The mentioned fire rated acoustical putty is a good option.
Perhaps even surrounding a box using fire rated spray foam is good.
But in terms of receptacle cover being exposed at the wall surface where wall is covered in sound absorbing material, the covers can be reflectors of sound, so perhaps better to make a outlet cover using the absorbing wall material and keep it covered when not in use (not sure if NEC allows that, but it is readily accessible). But then what to do when outlet is in-use? The cap-cord end perhaps should have some foam or something around it at the plug end so that when plugged in the full outlet faceplate is not completely exposed. Also use foam gasket behind faceplates, etc.
Wrapping seems to be the easiest inside the wall
http://metrosupplycollc.com/sound-blocking-putty-pads.html
https://www.soundproofingcompany.com/product/sealtight-putty-pads/
https://www.amazon.com/QuietPutty-Acoustical-Pads-Putty/dp/B004ZG422W