What can I do to correct asymmetric eyebrows caused my a facial laceration? (photo)

You should come see a facial plastic surgeon. There will be several ways to even your eyebrows. The high can be lowered, and the low can be raised to a natural position, for example.

For unique cases where a variety of modalities could be used to treat the condition, I would suggest an in-person or virtual consultation to develop a custom and effective treatment plan. It is difficult to precisely define the best option without collecting the same information. I suggest reaching out to an expert for a consultation with surgical and non-surgical methods to get a comprehensive option. Best, Dr. Emer.

Only when your scar and result is mature (1-1,5 years after injury) you should consider reconstruction. That will, most likely, involve brow lift on one side and brow lowering on the other. Scar management should be your mayor concern right now. Hope this helps.