There are many different ways to approach evaluating websites. Below is a sample of different criteria, all with different names.
Of the evaluation criteria with cute names, the CRAAP test is probably the most famous.
You are probably familiar with the method of asking who, what, when, where, and why when writing a news story. This method applies those five Ws to website evaluation.
The SMART method for evaluating sources works especially well for news stories.
For more about the SMART method see this excellent page from the University of Washington libraries.
CARS is another method for evaluating any type of web source.
Learn more about the CARS method at Robert Harris' Evaluating Internet Research Sources page.