In your case the folders where the modules are (or should be) installed are C:\TelerikMobileTesting\Telerik Mobile Testing\bin\cli\node_modules and
C:\TelerikMobileTesting\Telerik Mobile Testing\bin\node_modules
If there are no such folders at all this means that npm install totally failed.
If that's the case can you go to C:\TelerikMobileTesting\Telerik Mobile Testing\bin and type "npm install" and see the exact errors.
If this does not work for some reason, we don't really have any control over npm package manager, you can open the successful installation you made on that other machine and copy
bin\cli\node_modules and bin\node_modules manually. There are just a bunch of libraries in those folders which usually are downloaded Live using npm so copying them manually shouldn't be a problem.
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