OK here's a cooked up schematic.The frontend uses the audio detector of the EFY wala circuit,which is followed by a one-shot.
Pin2 of the 555 needs to go down to atleast 1/3rd Vcc for the trigger to work.When the transistor is switched on by the buzzer,it should pull pin2 to near-ground and hence the trigger should work giving a 0.5sec(determined by R1&C1) shot at pin3 to which a relay is connected.
Use a small 6V pcb-mount type relay,cause the 555 can source only around 200ma.