The Aussie Army does have its own integral capability for EOD, and limited ECM kit (COTS kit from US), however their focus is on EOD on deployed operations. Domestic EOD is provided by the Civil Police except if it is really complicated or involves CBRN. The Aussies created a specialist unit called the Incident Response Regiment (IRR) which combines IEDD, EOD, CBRN, search, SF (snipers, SRR equiv & hostage rescue) etc, and includes integral Science and Technology (akin to Dstl) capabilities. Doctrinally and procedurally it was based on the UK model, except without the cap badge rivalries that we have. It was initially formed as a CT contingency option in the run-up to the Sydney Olympics - however after the Games, it was decided to keep it as a permanent standing contingency organisation for domestic CT.
In answer to the original question - they don't have bleeps per se, but they do have EOD guys trained to push the ON/OFF switches of green boxes when they feel they require ECM cover. (Kind of similar to how we should do it here - but then there'd be no-one to make the tea or fix the Sky box in the dets!)