A total of 33 skilled workers lost their job at the company's Springburn depot, which maintains and refurbishes rolling stock for service on the national rail network, following a failed takeover.
Unite's support programme is being delivered by its 'Learn with Unite' organisers and includes enrolment in the union's jobs website, analysis of training needs, financial planning assistance and fortnightly follow-up surgeries to help members back into work.
Unite learning organiser Pat McIlvogue said: "Our Back to Work initiative is a direct response to the Railcare scandal where the UK government abandoned a viable company with a profitable order book waiting in the wings, resulting in the sudden loss of 33 skilled jobs.
"Unite Scotland has an excellent reputation for delivering learning, up-skilling and training opportunities that boost employability but in this climate of economic uncertainty, we need more acute interventions to support our members as best we can which is why we are piloting this new programme.
"Redundancy is a nightmare for any worker and the shock of unemployment can be terrifying.
"People need advice, empathy and support to help restore confidence and get back into work - something many people feel they can't get through a bureaucracy that's been gutted by the cuts itself."
The Unite organiser added: "The company administrators and the government made them redundant but they are not redundant to Unite."