I had eyebrow implants 4 months ago. Original hair has fallen out and implanted hair grows sticking up. Is this normal?

If the transplanted eyebrow hairs are growing straight out, it is a technical error and you need to discuss this with the doctor

Eyebrow transplants using scalp hair requires a special skill in identifying the ‘bend’; that is natural in each transplanted hair. So when put in by the surgical team, the natural curve of the hair must be placed to take advantage of it as it is placed.  It also must be put in laying them flat consistent with your natural eyebrow hairs Too many surgeons without considerable experience can’t seem to get either of these techniques right and if they don’t the eyebrow stick out rather than lay flat as they should.  In your case the darker hair and a slightly bushier eyebrow might help you frame your face, but of course, it is your call 100% as to what you want to look like. 

Your transplanted hairs and your native hairs should be grown in by the end of the year if not already. If the hairs are growing straight out, the transplant will need to be redone after these hairs are removed (electrolysis or laser). Eyebrow hairs have to inserted into slits that are nearly parallel to the skin with the curl of the hair facing the skin.