Howdy.

Here are a bunch:

Kevin Boyle The UAW and the Heyday of Modern Liberalism

Lizabeth Cohen Making a New Deal

Nelson Lichtenstein, Walter Reuther: The Most Dangerous Man in Detroit.

Rosemary Feurer Radical Unionism in the Midwest

Gary Gerstle Working Class Americanism

Melvyn Dubofsky The State and Labor in Modern America

Dorothy Cobble The Other Women’s Movement

Andrew W Cohen, The Racketeer's Progress

Fraser and Gerstle, eds., The Rise and Fall of the New Deal Order

Gabriel Kolko, The Triumph of Conservatism

Howell Harris, The Right to Manage

David Kennedy Freedom from Fear

There are probably hundreds more.

It's important to understand the labor movement of the 30s in the context of a larger industrialization moment in the US. Starting with Recon. -era Knights of Labor and moving to the booming AFofL/CIO of the 30s and beyond, one sees liberalism (both classical and more modern,) the state, and labor all heavily intertwined. The books I've listed above are mostly broad views of the time. But as Tip O'Neill famously said 'all politics is local.' The roots of the movement lie in many places and there are of course many books on those places and roots. If this stuff is of interest (and not just for an assignment,) I'd suggest you start in the Reconstruction Era and move forward. Let me know if you'd like suggestions.

Cheers.