How to handle or Recognizing Custom Controls Customized Date time Chooser ?

Vijay,

As far as I can see, your Flex application is using DateTimePicker controls, right? As far as I know, TestComplete does not support these controls at the moment. You can try setting the needed date by using native Flex properties and methods that you can access through the FlexObject property. I cannot say the exact native method or property to be used. I'd suggest that you search for the control's documentation or ask developers for assistance.