Your example isn't showing, but I'm guessing you mean the current Lucasfilm Ltd logo. The most accurate way to make your own logo resemble theirs is to manually create one in a vector art application like Adobe Illustrator. If you simply want to automated solution that is 'good enough' then I recommend Star Wars Title Sequence Generator, an app that creates custom 20th Century Fox and Lucasfilm Ltd logos, Star Wars logos and opening crawls. Here's an example of its output. If you don't have access to a Mac then unfortunately that wont help you.
This topic needs moving to the Requests and How-tos forum.