Justice secretary Alex Chalk said the government must "must do everything we can for the most disadvantaged in society".
"Oh wow I’m sure a letter to mums will suddenly make childcare affordable," one critic said.
The idea was derided as a “red meat” policy designed to shore up the former prime minister's leadership.
We are facing the highest tax burden for at least the last seven decades.
His comments came as the consumer prices index hit 11.1% - the highest rate in 40 years.
"This is making the poor pay the price."
The Conservative party conference has already seen two major government climbdowns.
The Commons leader is the first minister to publicly oppose real terms cuts to the welfare budget.
All households can get energy bill support – and some are also eligible for an extra £650.
The levelling up secretary clashed with Talk TV's Julia Hartley-Brewer in a car crash interview.