Scottish Conservative social security spokesperson Liz Smith said her party continued to support the two-child cap.
“Social security payments must be fair to people who are struggling and to taxpayers who pick up the bill," she said.
"The rapidly rising benefits bill is currently unsustainable as a direct consequence of the SNP’s high tax rates and mismanagement of our economy and public finances.”
However, Robison's announcement was welcomed by the Child Poverty Action Group in Scotland and Save the Children Scotland.
They called for further action to help families more quickly, such as an increase in the Scottish Child Payment.
The government cut affordable housing funding by £196m in last year’s budget. Although this was reduced to £163m following in-year adjustments, the funding was still down by more than 22% in real terms from 2023-24.
Aditi Jehangir, chairwoman of Living Rent, said the £768m of funding announced by Robison was “only a reverse of previous cuts made to the budget” and a “drop in the ocean compared to what is needed”.
Council body Cosla, which warned ahead of the Budget that cash-strapped local authorities were at a financial “tipping point”, said it would take time to consider the finance secretary’s proposals.