Reform UK was not granted any peerages in the list published on Thursday.
Reform UK leader Nigel Farage said the appointments were “the uniparty writ large”.
“Once again there is nothing for Reform and we get an even more unrepresentative upper house,” Farage said.
Liberal Democrat leader Sir Ed Davey said he was “delighted” agricultural economist Julia Aglionby, former Barnsley councillor Hannah Kitching, economist Tim Leunig, campaigns director Dave McCobb and offshore wind entrepreneur Mark Petterson would be joining his party’s ranks in the Lords.
“Each of them has the right skills, experience and values to help us hold the Government to account, deliver the change people need, and fix our broken politics, including reforming the House of Lords,” Sir Ed said.
The former head of the army, General Sir Patrick Sanders, has been made a Conservative peer alongside Carphone Warehouse co-founder David Ross and Swaran Singh, professor of social and community psychiatry at the University of Warwick.
A Conservative Party spokesman said: “We are delighted that David, Sir Patrick and Professor Singh will be joining the Conservative team in the House of Lords.
“They each bring immense experience from the worlds of business, defence and healthcare.”
Members of the House of Lords are generally appointed by the King on the advice of the prime minister.
Once a nominee passes vetting, appointments to the Lords are formalised by the King.
In 2022, Labour said it planned to abolish the Lords, replacing it with a “new, reformed upper chamber”.
But this was watered down, with Labour committing to consider plans for an alternative second chamber, whilst immediately axing the 92 places for hereditary peers, which it did this year.
Burnham has called for a complete overhaul of the unelected Lords.
“I don’t think we can justify half of our national legislature being unelected,” Burnham told The House magazine last month.
“I think this is something that is, in many ways, quite scandalous.”
The Electoral Reform Society campaign said Labour’s supporters would be baffled by the latest appointments to the Lords given its plans to reform the chamber.
“The next prime minister needs to make good on the promise of reform and turn the Lords into a smaller, democratic chamber that is more representative of and accountable to the people of this country,” said Darren Hughes, chief executive of the Electoral Reform Society.
