Hyper-elevation of the brows after a browlift can be treated by injections of Botox that relax the forehead muscle. However this must typically be repeated every three months.
We now usually perform browlifts in a hair-sparing fashion and try to elevate the lateral brows more than the central brow area. I believe that our old paradigms of brow elevation are antiquated, as evidenced by a generation of beautiful brooding vampires, many of whom do not have "typical brow aesthetics".
More often, we are augmenting the volume of the brow, to avoid the bony forehead look, particularly if the brow has been elevated into the bony region of the forehead above the orbital rim.. We prefer autologous fat fascial grafts, untraumatized, for this purpose.
Many patients with your problem opt for a reverse browlift. This procedure involves dividing the deep layer that is over elevating the brow. It gives a permanent fix to the problem for patients who don't care for the necessity of repeated Botox injections.
Below is a chapter on browlifts in the textbook Mathes that addresses this question as well should you decide to read it.