ULX has no way to prevent group access to non-ULX commands "out of the box".
You would have to find those commands in nutscript and modify the nutscript code to check for (additional?) access. (I presume they do some checking of team/etc already, hence me saying additional)
The simplest method to use would be Player:IsUserGroup
If you find the function code in nutscript and would like help from the community, please start a new post in the Developers section of the forum, with example code of what you've tried, errors your getting or questions you have about the code..