How did some liberals and conservatives criticize the new deal?

Of course, liberals and conservatives had different reasons for criticizing the New Deal.

To conservatives, the New Deal was socialism.  It used taxpayer money to help people who were in need.  That is redistribution of income and it can be seen as a step towards socialism.  Conservatives saw it in this way.

To liberals, the New Deal did not do enough.   Many liberals wanted to see much more in the way of government spending.  For example, Dr. Francis Townsend wanted the government to give very generous pensions to all seniors on the condition that they spend all of their stipend every month, thus increasing demand in the economy.  Liberals, then, wanted more radical action than President Roosevelt was willing to take.