Bryan Chapple, Acting Deputy Secretary Covid-19 Economic Response and AoG Economic Pillar, was also mean to front up, but he was on leave, Bridges said.
The committee was informed about both of these things this morning, before the committee sat.
Bridges said this was "entirely unacceptable" given this is the committee's chance to scrutinise the Budget.
But in a statement McLiesh said she had appeared before the Epidemic Response Committee twice previously and would front up to MPs on another committee next month.
In a separate press release this morning, National's finance spokesman Paul Goldsmith said the committee had been organised for days.
"There are 565 permanent staff at the Treasury. Despite the Clerk of the committee requesting another representative, not one person has been made available.
He said this comes on top of Finance Minister Grant Robertson withdrawing from appearing at the committee last minute when he was due to appear last Wednesday.
"A number of serious market commentators have made time to appear at today's committee – all wanting to know how the Treasury came to its forecasts, which appear highly optimistic."
After the committee's hearing this morning, Treasury released a statement about the no-show.
"Secretary to the Treasury Caralee McLiesh is unwell and Struan Little, Deputy Secretary Budget and Public Investment, is on leave this week.
"We contacted the committee clerk early this morning to advise that we were unable to attend and have been working with the clerk to find an alternative time later in the week to appear before the committee."
The statement said that the Treasury has also offered to provide written answers to questions they may have in the meantime.
Act leader David Seymour agreed with Bridges when it comes to Treasury's no-show this morning.
"This is now an emerging pattern for 'the most open and transparent government in New Zealand's history'," he said.
New Zealand, he told the committee this morning, is in a different situation to those economies – they are all a better credit risk, meaning paying back New Zealand's debt will cost more in the long term.
He said the Government needs to make some tough decisions to help bring that debt level down.
For example, he said the Government needed to sell some of its assets, like the state-owned electricity companies.
Unless dramatic moves like this are taken, he said taxes will need to be raised.
In terms of how much all the new debt will cost New Zealand in the long term, Bagrie was pessimistic.
He told the committee the cost of paying back the debt by 2034 will be more than the Government's education spending.
For example, there needed to be more reprioritising of funds – the money from KiwiBuild, he said, should have been allocated to the Covid-19 response.
"Covid – go big and go hard," he told committee members.
Submitting to the committee today are:
• Cameron Bagrie, chief economist of Bagrie Economics • Dr Bryce Wilkinson, Senior Fellow of the NZ Initiative • Phil O'Reilly, partner of Iron Duke • Michael Barnett, Chief Executive of the Auckland Chamber of Commerce