Searching for stuff, either in your own history or on the web, is an integral part of the browsing process.  The UI for searching is important to a great user experience. For us, that UI is part of what we call the Awesomescreen. Firefox Desktop has an Awesome bar, we have an Awesomescreen. Look for these changes in Firefox 44.

New Search Suggestions from Your Search History

Previously, if you opt into search suggestions, we only showed you suggestions from your default search engine (if your default search engine supports it). Now we can also show you things you’ve searched for in the past on your mobile device.  These suggestions from your search history are denoted by a clock icon. Anthony Lam designed the shiny new UI you’ll see below.

We’ve also updated the layout and styling of the search suggestion ‘buttons’ to help you spot the one you want faster and make the whole process easier on your eyes.

http://www.allisonnaaktgeboren.com/changes-to-searching-on-firefox-for-android/