Hi Rick!

I do not know what version of cqrlog you have. Version loaded from linux packages are usually very old. So some of pictures may look different. 
When cqrlog is intalled it also requires installation of Hamlib. rigctld is a part of Hamlib and supports your rig:

  3085  Icom                   IC-705                  20211222.3      Stable      RIG_MODEL_IC705

So it should be there so you should get it configured.
Also if hamlib  is very old the rig number may differ 3085 --> 385

Select NewQSO/File/Preferences and from there select Tab "TRXcontrol"

Set the device to same value  you have used with flrig.

Instead, if you like to use flrig with cqrlog you can start flrig before cqrlog (always) and configure TRXControl this way:

The most important is to get "path to rigctld binary" to have right value. You can check that by opening a command console and type in command "whereis rigctld"

Note that in this picture rigctld exist in different directory than pictures above have the path. In that case I have now change the path in TRXControl to be "/usr/local/bin" instead of current "/usr/bin"

If you are planning to use cqrlog with other programs like wsjtx you can define flrig also there, but I recommend to read this:
https://github.com/OH1KH/cqrlog/blob/loc_testing/compiled/setting_rigctl...