You need to change, in the file "ServerGenius.exe.config" located in "C:\Program Files (x86)\RDS-Tools\ServerGenius" the value of "level" to "DEBUG":
<root>
<level value="DEBUG" />
<appender-ref ref="Console" />
<appender-ref ref="RollingFile" />
</root>
The logs will be generated in "C:\Program Files (x86)\RDS-Tools\ServerGenius\logs".