Maybe OS-related? Everything fine in my setup:
Operating system: Linux-4.15.0-47-generic-x86_64-with-debian-buster-sid 64 Bits (ubuntu 18.04)
Graphics card: GeForce GTX 1070/PCIe/SSE2 NVIDIA Corporation 4.5.0 NVIDIA 390.116
Blender version: 2.80 (sub 60), branch: blender2.7, commit date: 2019-05-06 10:05, hash: rB2c0da4a3db96

@Sebastian Jansson (sebastian) Parborg (zeddb)

We can reproduce this here a BI either.

Do I understand correctly: you CAN reproduce this issue?
To be clear, what is a BI? Blender Internal (renderer)?

Are you using some special russian layout?

No, I'm using the default, stock Russian keyboard layout that ships with the system (elementary OS 5.0).
It's strange, but many applications on the same system work just fine with shortcuts in Russian layout, e.g. Thunderbird, Vivaldi, Tor.

Neither me or @Sergey Sharybin (sergey) managed to reproduce this on our machines. (With BI, I meant Blender Institute)

What is the output if you type "g" in an xev window?

When I type "g" (English layout):

KeyPress event, serial 38, synthetic NO, window 0x6400001,
    root 0x1cb, subw 0x0, time 28908034, (-287,-14), root:(584,513),
    state 0x10, keycode 42 (keysym 0x67, g), same_screen YES,
    XLookupString gives 1 bytes: (67) "g"
    XmbLookupString gives 1 bytes: (67) "g"
    XFilterEvent returns: False

When I type "п" (same keyboard key, but Russian layout):

KeyRelease event, serial 50, synthetic NO, window 0x6400001,
    root 0x1cb, subw 0x0, time 29128273, (-243,131), root:(643,1000),
    state 0x10, keycode 42 (keysym 0x6d0, Cyrillic_pe), same_screen YES,
    XLookupString gives 2 bytes: (d0 bf) "п"
    XFilterEvent returns: False

We've managed to reproduce the issue when running elementaryOS Live USB.

So, now need to figure out. Is it something what Gnome is doing different, or is it elementaryOS which does something different.

@Jacques Lucke (JacquesLucke), AFAIR, you're running Gnome? Mind testing this?

Otherwise we'll need to make it an install on some sacrificial machine and look in debugger and such.

I seem to be able to reproduce it. However, I'm not quite sure how it is supposed to work. When I switch to the russian keyboard, I don't have e.g. g on my keyboard anymore, so which key should be pressed then? (I never used a keyboard with different letters)

@Jacques Lucke (JacquesLucke) when you press G no matter which keyboard layout is active, it must be the same G hotkey. Layouts affects only on text input.

I have a related problem. When I try input "я" ("z" on english layout) in text edit mode blender switch viewport shading instead insert new char.
More: I can't input any char with second keyboard layout(russian) anywhere(text edit, object names, etc)

System Information:
Gentoo linux, gnome-3.34
Nvidia 2070
Blender 2.80 official build and Blender 2.81 nightly build

P.S> I run blender with --debug-events option
When I press "z" on english layout:

wm_event_do_handlers: Handling event
wmEvent  type:122 / Z, val:1 / PRESS,
         shift:0, ctrl:0, alt:0, oskey:0, keymodifier:0,
         mouse:(1721,914), ascii:'z', utf8:'', keymap_idname:(null), pointer:0x7fe3d462b008

wm_event_do_handlers: Handling event
wmEvent  type:122 / Z, val:2 / RELEASE,
         shift:0, ctrl:0, alt:0, oskey:0, keymodifier:0,
         mouse:(1721,914), ascii:'', utf8:'', keymap_idname:(null), pointer:0x7fe3d462b008

When I press "я" (z) on russian layout:

wm_event_do_handlers: Handling event
wmEvent  type:122 / Z, val:1 / PRESS,
         shift:0, ctrl:0, alt:0, oskey:0, keymodifier:0,
         mouse:(1743,913), ascii:'', utf8:'', keymap_idname:(null), pointer:0x7fe3d462a388

wm_event_do_handlers: Handling event
wmEvent  type:122 / Z, val:2 / RELEASE,
         shift:0, ctrl:0, alt:0, oskey:0, keymodifier:0,
         mouse:(1743,913), ascii:'', utf8:'', keymap_idname:(null), pointer:0x7fe3d462a388

P.S. I probably found a solution: https://gitlab.gnome.org/GNOME/gnome-shell/issues/1690

I'm having a similar issue. I can't assing keys like ö or ä or å from the scandidavian alphapet to keyboard shortcuts. The ones found in the english one work. Tested this on the latest 2.83 beta. Also § doesn't work for some reason. When trying to assing the keys listed, it just spits out "Unsupported key: Unknown"

Edit: Also I'm using Mac os x if this has any effect on this

I have a problem with Russian keyboard layout too, along with all my coworkers, we all use Windows 10 Pro. Everything works except for combinations with Right Alt (Alt + P, for example). And when I press Alt + G to reset object transformations, Blender reads the command if I pressed Ctrl + Alt + G (Remove from Collection).
We all have two keyboard layouts on our systems: English (US) and Russian (RU). There is no difference, which is primary or secondary.
We all experience the same behaviour on our home PCs with Windows 10.

Decided to create a new task, because it's another type of problem with Russian layout.
https://developer.blender.org/T81150

Hello Team,

I have similar issue, opened a topic like the one here : Keyboard issue - Cyrillic Bulgarian/ English