I don't think that most folks connect the RTC reset pin to the MCU reset pin. But it depends on what you're trying to accomplish. Do you have a reason to connect them together, or are you just doing it because you saw it somewhere?
BTW, shouting URGENT in the subject line will likely have the opposite of the desired effect. Most of the time I don't even look at such posts.
Its not due today nor this week. I just want to get it done asap.
Yes, I am using a pull-up resistor but I measured it when it is not connected to Barduino. It still has 5V when it is not connected to Boarduino. As you can see from the attached image, the dark green colour wire is not connected.