The authority launched a consultation in November on its budget proposals, which include selling off all its care homes, increasing care charges for the elderly, closing certain day centres and shutting all County Contact Points.
They are also pl
anning to make around 470 staff redundant
A statement released by Unison said: "As if all this wasn't bad enough, it has been made very clear that worse, much worse, is to follow.
"If action isn't taken now to protect public services, there may be very little left in five years' time.
"This is not what people voted for last year — but it isn't too late for everyone to say what they think."
The authority says it needs to make the savings to bring in a freeze on Council Tax and reinvest more funds in care for the elderly and disabled and protecting children at risk.
The consultation ends on 22nd January and the plans will be voted on by full council on 25th February.