Will my eyebrow grow back after burning the ends? (photo)

Thank you for your question.
If you had the burn a few years ago then it depends on the depth of the burn as to whether the hair will come back adequately. It has been two years and generally if you are seeing some hair come back then it might well be that the area underwent shock and you will get some more hair growth here. 
What you can try is to use vitamin E hair growth oil - this will help to strengthen the hair and may give you a better growth response. Other options include medical tattooing or eyebrow tattooing which can leave you with a good effect. Surgical options include an eyebrow transplant to physically replace the hair that was lost. This can be carried out under local anaesthetic. 
I hope this helps 
BWRohit Seth
Plastic, Reconstructive, Aesthetic and hair transplant surgery

It could but because it's been several years it probably has finished growing back. You could try Latisse to see if that does anything but if it was more recent to the incident Latisse would be more likely to help.

If there has been a few years since you burned your eyebrows, what you have will be permanent. You can transplant the eyebrows if you wish to restore them