The Financial Services Union and the Communications Workers' Union have both called on Accenture to explain why they are "aggressively" targeting their Irish operation for redundancies.
Accenture announced on Monday that it plans to cut 890 jobs from its Irish operations. The company currently employs around 6,500 people in Ireland.
This follows on from a previous cut of nearly 400 jobs last April, which brings the total number of proposed jobs losses in Ireland to almost 1,300.
In March, the company initiated a series of actions to streamline its operations, including the departure of around 2.5% of its current global workforce.
The two unions described the Irish job losses as "disproportionate to what is happening elsewhere".
John O'Connell, General Secretary of the FSU, noted that Accenture is still recruiting for staff on their website today.
He said the FSU and CWU would like to hear the company's rationale behind the cuts announcement and the reasons why Accenture have aggressively targeted their Irish operation for redundancies.
"An explanation is required for the staff who have shown loyalty to Accenture, and worked hard to contribute to the company's growth and success," Mr O'Connell said.
"Our members raised concerns in relation to the last consultation process that went unanswered and have again contacted their Unions to ask for our help and support through the current consultation process," he said.
"We are requesting immediate engagement with the company on this and other issues in relation to the consultation process," he added.
Sean McDonagh, General Secretary of the CWU, said that the Minister for Enterprise, Trade and Employment and Enterprise Ireland need to be proactive in their approach to ensure that staff are treated fairly through the redundancy process and then have options open to them for employment elsewhere.
He added that the CWU and the FSU are available to support members and request that Accenture facilitate this fair and reasonable request on behalf of their staff.
"Staff are shocked and distraught at the news this week and to ask them to undertake a consultation process of this size, in these circumstances, is profoundly unfair," Mr McDonagh said.
"It places an overwhelming burden on the shoulders of ordinary workers at a time when they need additional support, not extra pressure," he said.
"We understand the process for the election of the employee representatives has been set out and the time frame for the start of the consultation period has been set. To ensure a fair and transparent process Accenture needs to ensure that the employee representatives have professional representation via their trade unions at these consultation meetings," he added.
