Searching Tasks is working poorly

Hello, I would like to suggest some improvement for searching individual Tasks in search bar. Currently search bar only works when typing in subject of the task. That unfortunately is not working smoothly when it comes to locating particular Task and especially when it comes to look thru tasks that are auto generated with certain service items. I have hundreds tasks with the same name and it is time consuming to go to a list and just search that ID next to name. Can this improvement be made so it would work like with Tickets module?