Answer:
"The major influence of the People's Party (the Populists) is that it did a great deal to lead to the rise of the Progressives in the early 1900s. As an often-quoted line goes, populism
shaved its whiskers, washed its shirt, put on a derby, and moved up into the middle class
When it did this, it became Progressivism. The Progressive agenda was really based on the Populists' agenda, only with much less of an emphasis on farmers and rural people.
In the longer term, you could argue that the Populists' ideas have been very enduring. They have (you could argue) led to modern day politicians like Sarah Palin who believe in the idea of "common" or "regular" or "real" Americans fighting a battle against the elites."