You can use Google's Advanced Search to formulate effective grey literature searches.
Websites
Often a website's search function fails to discover the results you might expect to find. Using Google's site or domain option to search within the website e.g., .gov.au may allow you to discover documents you're looking for.
File types
Grey literature is often published online as a pdf or word document. Using Google's file type search will help narrow down the results to these file types.
Using Operators in your searches
Google allows you to use operators within your search to help you refine your searches. Some common ones include
+ for AND
- for NOT
OR for OR
"" for a phrase search
You'll find other refinement options here.
Verbatim Mode
Google will display results based on your search history, preferences and website visits. You can use Verbatim mode in the tools option to disable this default function.