Factorio Forums

TL;DR

Shift-click to copy desired modules.

What ?

Shift+Right click on a Beacon that has modules should copy the module setup.
Shift+Left click on an empty Beacon should request that robots fill the Beacon with the pasted module setup.

Why ?

Quality of life, easier handling of modules (in Beacons at least) and avoid tedious tasks late game.

This request is a special case of a more general request for better and easier automated module management. There are many slightly varying requests trying to address the lack of module (re)placement "automatability", the first ones going back as fas as 9 years ago.
For ease of accessibility, I'll link a few of them here :

Copy/paste module settings by Shift click (the exact same suggestion as OP) :
viewtopic.php?f=6&t=7904
viewtopic.php?f=6&t=31684
viewtopic.php?f=6&t=43164
viewtopic.php?f=6&t=76358
viewtopic.php?f=6&t=77448

Copy entity and paste en existing entity should create module requests if necessary :
viewtopic.php?f=6&t=58965
viewtopic.php?f=6&t=92132

Add module requests when pasting a blueprint on an existing structure/ghost :
viewtopic.php?f=6&t=92862

Add a way to blueprint module config :
viewtopic.php?f=6&t=8175
viewtopic.php?f=6&t=34464

These are the threads I found with the most straightforward search, I'm sure I could find more with less obvious search criteria, but I'm too lazy to do so