The pressure campaign reflects anger that Democrats have not backed a race where polls show Hinojosa competitive and where Latino leaders see a chance to make her Texas’s first Latina governor.
Some officials are signaling they could withhold support from Beshear in a potential 2028 presidential run if the D.G.A. keeps Texas on the sidelines.
The group has not yet spent on Texas, even after allocating $650,000 last week to Alaska and investing in governor races in Arizona, Georgia, Michigan, Nevada, Wisconsin and other states.