OK. That would all imply that interrupts are indeed being detected and the interrupt service routines correctly triggered.
Your post is entitled "Interrupts getting ignored". What is not happening in your sketch which you believe should happen ? In other words, how have you concluded that interrupts are being ignored ?
I say that bcoz I can see the values getting updated in this loop
if (ang == false)
{
Serial.println("Motor ON time Updtae EnABLED");
Serial.println("Updating ANCHI");
yog = now.hour();
anchi = now.minute();
anchi = anchi + EEPROM.read(address);
Serial.print("EEPROM:");
Serial.println(EEPROM.read(address));
Serial.print("MOTOr will be OFF at:");
Serial.println(anchi);
ang = true;
}
only when the pin 9 is LOW. Once the pin 9 goes HIGH the values are not updated in it