Open Bite, Braces and Recessed Chin

I wouldn't expect the result you see in the photos for yourself. That girl grew her way out of a recessed chin, and grew a lot. In growing individuals an orthodontist can use certain appliances with growth to help enhance chin projection, but you are 21 and not growing, so really the only way for you to address your recessed chin is surgery (genioplasty or orthognathic surgery).

Braces (perhaps with extractions too) can most likely close down your bite, but if you are looking to make your chin more prominent the braces alone won't get you there in your case. Make sure you discuss all your goals for treatment with your orthodontist, so that he/she can help build a plan for treatment that gets you the result you want.

Although some degree of open bite might be corrected, your long face and recessive chin will not be improved.  To ideally correct these problems would involve a surgical treatment....sorry!