No, there is no way to automatically upload the files to Facebook. You have to manually save the images from Facebook and then use the Uploader function available on Badoo to upload them. I've searched for tools to achieve this and didn't find anything available.
Another way to download all the files is through the "Download a copy of your Facebook data" option found in the Settings.
![Settings menu / Facebook](http://image.prntscr.com/image/9e3a438a84224fb5992a6ec23cb36004.jpg)