The workforce, who deliver a range of public services across the city, from lollipop road crossing for school children to cleaners, catering, janitorial staff and home carers, have seen their access to overtime denied and face a proposed reduction to their holiday and payment entitlements due to their union affiliation.
Unite members in Cordia previously rejected the proposals in a ballot last year.
Cordia have further intensified grievance among workers by refusing to allow members of Unite a paid holiday for the Queen's Jubilee on June 4, unless they signed-up to the reduced contracts.
Unite has lobbied Glasgow's Councillors extensively over the Cordia cuts, already receiving significant cross-party support.Unite regional industrial officer, Willie McGonigle, said: "The people delivering these public services are often pillars of their local communities.
"But they are also among the lowest-paid.
"At the Glasgow May Day rally we ramped up our campaign against these draconian cuts.
"We laid down the challenge to Glasgow's new councillors to support our view that people and not profit are central to the delivery of basic public services.
"Cordia's campaign of coercion to erode the modest terms and conditions of low-paid public servants is a disgrace. We'll fight them every step of the way."