I want to get the results as per the image below:
This is UITextField, when I tap on it, then I filter the table. When I select some UITableViewCell, then I need to add some text into my recent UITextField (where I'm actually typing). I can delete some characters, but when I try to delete "purple comma" then I have to remove all name immediately. How can I implement that behaviour?
Sounds like you're looking for something along the lines of an NSTokenField for iOS.
A quick search on Github provides some options:
Obviously you would have to edit them for the style you want, but it's a start.