Sheesh, I'm going to wade in on this, as I'm not fond of this type of treatment.
First of all, have you had a full orthodontic consult with all treatment options explored? There are a lot of options to explore before resorting to an osteotomy.
Second, the facial profile shown in that photo is what is know as bimaxillary protrusion. That is common in (pardon my technical language) mongoloid and negroid populations, and is part of ones genetic make up. Personally, I find it distressing that our sense of beauty has become so homogenised that the only acceptable facial profile is a straight one. Nevertheless, if one wishes to change it, then there are many ways, depending on the situation.
1. Dental arch expansion with orthopaedic appliances - if the dental arches are widened, protrusion is reduced.
2. Reduction of tooth size - narrower teeth can be tucked in further, reducing lip protrusion.
3. Premolar extraction if sufficient crowding is present.
4. Palatal and lingual alveolar corticotomy (work on the bone holding the teeth in place) to allow further retraction of teeth, without having to involve work on the actual jaw bones.
Explore all these options first before going to something so radical. I don't deny the fact that cosmetically, the result is pleasing, but there are risks in such a procedure
1. Poor healing - the bones do not fuse back together after. Lifetime of pain if it's really bad.
2. Loss of tooth vitality - if the blood supply to the teeth is sufficiently disturbed, some or all of the teeth in the osteotomy may need root canal treatment, or may be lost,
3. Long recovery period.
4. Risk of alteration to the airway increasing the risk of obstructive sleep apnea.
5. Poorly performed osteotomy will push the lower jaw back to a pathological position leading to long term jaw joint pain, possible muscular migraines, and compromised airway.
That's about as comprehensive an answer as I'm willing to give on the internets.

Good luck with making your decision!