To help me determine the method, it would be helpful to know:
* What is the excerpt about? What is the topic being satirized?
* What tone does the excerpt use? Is it humorous, scathing, ironic, or something else?
* What literary devices are used? Are there any particular techniques like hyperbole, understatement, irony, or parody?
Once I have this information, I can tell you what method of satire Swift and Pope employed in the excerpt.