The most important part of evaluation is that you ARE evaluating sources. The method itself isn't as important, though different methods will work better for different sources, disciplines, purposes, and people. The ones listed here are some common methods, not the only ones.
The Continuum of Credibility focuses on publication source but can be adapted for other factors, too, such as relevance of the topic to your purpose; the author's credentials; or the reason the work was created.
In the CRAAP test, one looks at various factors to determine the source's appropriateness for use in an academic paper:
Currency
When was it published?
Relevance
Is it an appropriate level?
Does the information relate to your topic?
Authority
Who is the creator?
What are their qualifications on the topic?
Accuracy
Has it been reviewed or vetted?
Is it supported by evidence?
Purpose
What is the purpose of it? Inform? Critique?
Are there biases in it?
Similar to the CRAAP test, ABCD looks at various factors to determine the source's appropriateness for use in an academic paper:
Authority
Bias
Content
Date
This video by Crash Course outlines Lateral Reading as an evaluation method for online sources, particularly websites, instead of using checklists, like the CRAAP test. Lateral Reading is the method used by professional fact-checkers.