Here's the embroidered version of the patch. As for the symbolism, here's the description -
"Trailing twenty-five stars representing twenty-five spaceflights, space shuttle Endeavour overflies the red, white and blue United States of America into a historic sunset, signifying her final flight and journey toward the California Science Center in Los Angeles, California. The Hubble Space Telescope and International Space Station remain in her wake as long-term reminders of Endeavourís landmark achievements in space.
A golden ribbon surrounds the vehicle, illuminated by the setting sun and representing her transit from one sunny U.S. coast to another; from the Sunshine State to the Golden State. Her name, as well as those of her
two homes (Kennedy Space Center and the California Science Center) adorn the top and bottom of the banner, while her dates of service and number of flights round out the ribbon.
Just as the ribbon does, Endeavourís life now comes full circle. Born in California, she now makes her triumphant homecoming to begin a new career of inspiration for the next generation of explorers."