There is a Magnifying Glass at the right upper corner. Please click on it to get to the search page.
The search page has 4 or 5 tabs on the bottom bar. You can navigate to search items what you need, for example, if you are looking for for an event, you have to move to the event tab.
NEVER SUCCEED TO FIND WHAT I EXACTLY WANT?
Basically, AwesomeCalendar search for items only in a specific time period that from past 12 months to next 12 months. if the item is on before 1 year, it will not be shown in the 1st try. In that case, you can search more by pulling down and releasing the result page. one pulling page will show 1 year more result.