The "cowboy" developers behind the illegal demolition of a heritage-listed pub in Carlton face further fines after missing a deadline to cover asbestos waste dumped on a building site n Melbourne's west.

The Environment Protection Authority on Friday confirmed it had issued a company owned by the developers with two fresh fines totalling more than $15,000 for failing to cover debris containing asbestos.

Those penalties follow a $7500 fine to another company run by the same two developers for leaving rubble exposed at the site of the former Corkman Irish Pub.

EPA metro manager Daniel Hunt said the owners of the demolished Corkman Irish Pub had had until 4pm Friday to cover the waste from the hotel, which had been dumped at another site the developers own in Cairnlea.