There are a number of reasons why people believe that Bacon may have written Shakespeare's plays. One reason is that Bacon's own writings contain many of the same themes and ideas as Shakespeare's plays. For example, both Bacon and Shakespeare wrote about the importance of knowledge, the nature of love, and the human condition.
Another reason why people believe that Bacon may have written Shakespeare's plays is that he had the education and knowledge necessary to write them. Bacon was a highly educated man who was familiar with the classics and the latest scientific discoveries. He also had a keen interest in the theater, and he wrote several plays himself.
However, there is no concrete evidence to support the claim that Bacon wrote Shakespeare's plays. The most likely explanation for the similarities between Bacon's and Shakespeare's writings is that they were both influenced by the same cultural and intellectual currents of their time.
Ultimately, the question of who wrote Shakespeare's plays is a matter of opinion. There is no definitive answer, but the evidence suggests that William Shakespeare himself was the most likely author.