What can I do to make my eyebrows grow back after they've been gone for around a year? (Photo)

Was there any specific cause, as if this happened for no known reason then you should request some tests to be carried out to understand the true cause of the hair loss, probably best to initially speak to your Doctor and ask for a referral to see a Dermatologist. Once the cause is known and understood, then and only then you can look at a resolution.
An option could be a Transplant of some kind but at this stage it would be unwise to proceed down this route until proper tests have been carried out and results of the cause of the hair loss are noted.

It is difficult to say if eyebrow transplants would be effective for you. There is a link between atopic dermatitis and alopecia areata. If you in fact have areata thebgrafts may not take. If this is simply atopic dermatitis then there’s a better chance that as long as the condition is well maintained that thevgrafts will take. I would recommend setting up a consultation with a provider well-versed in hair loss so that you can discuss your options.