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2.
Used to inform somebody that they’re taking more than their share or are engaged in some kind of unfair practice.
In June 2009, Australia's Prime Minister Kevin Rudd when persistently questioned by a reporter about how he'd arrived at a decision about the composition of his ministers, responded three times during an interview "Fair shake of the sauce bottle, mate." Critics thought he was trying too hard to use Australian slang to boost his popular appeal.
by vexnews June 15, 2009
 
1.
Synonymous with fair go i.e. a chance
Speaking to Sky News after the swearing in of new ministers, Australian Prime Minister Kevin Rudd rejected the view that not enough women were promoted.

"Fair shake of the sauce bottle, mate," he said. "If you were to compare what this Government has done in terms of the promotion of women of talent and ability compared with our predecessors, it's chalk and cheese."
by Sideshow? June 09, 2009