Thank you, yukibell for asking.

Yes, the Address Bar (or the Awesome Bar) can be used to search stuffs. You can check your current Firefox configuration through about:config and typing the correct keyword.

To follow the steps on how to make your Awesome Bar search bar for Google, go to Search the web from the Address Bar and follow to turn on Internet Keyword search feature.

Thank you and hope that helps

Sorry, but I tired all of those steps. And it didn't work. I have even reinstalled firefox. Still nothing.

For a while, my awesome bar at top left would not search unless it had an official www internet address. I tried about.config and promised to be careful, but no change. I made the search bar at top right a bit larger and set for Google and use that when I have just a word or two to search. Works if you ask a question, too.

Hope this works for you. I've been happier!