I broke my nose in a boxing match hope you can tell me what I broke and what procedure the doctors do? (photos)

Thanks for posting your photo.  It appears that your nasal bones are shifted, giving your nose a crooked appearance.  You are a great candidate for having this corrected with a rhinoplasty procedure.  What you are feeling in your nose is likely cartilage and / or bone.  You should see an ENT Surgeon / Facial Plastic surgeon to have this properly assessed and discuss options.

It looks like you suffered a nasal fracture and maybe a saddle nose deformity. You need to see a plastic surgeon for an accurate diagnosis and treatment plan.