Last week, I discussed some simple ways of activating your glutes. Inherently, I find glutes a lazy muscle group. A well-balanced body will mean you will have equally strong muscle groups.
Remember, everybody is different and what activates a weak body part for some people may need to be slightly altered for others.
Squats below parallel may help engage the glute, but you may still find the quad overcompensating. My favourite technique to really ensure that the glutes are engaged is pre-exhausting the stronger muscle.
This can be achieved by pre-exhausting the hamstring or quads (whichever is the more dominant muscle) with light reps to failure before hitting the glute with a heavy load.
You think that you are not truly working the glute but, in fact, pre-exhausting the hamstring or quad will mean that the glute has no other option other than to work to make up for the failing hamstring or quad.
Including exercises like squats after exhausting the hamstring from a hamstring slide is an ideal way to ensure you hit the glutes.
Or, if your quads are more dominant, throw in an isolation exercise like a single-leg bridge after compound lower-body exercises like squats or lunges.
Apart from the obvious great shape you will achieve from training your glutes, the benefits of having strong glutes will include a stronger back with less chance of lower-back injuries.
The glutes play a big role in the position of the buttocks and are the main muscles used to straighten the body up (ie getting out of chair etc).
Remember, the glutes are the bridge between the erector spinae and the bicep femoris (ie the hamstrings and the back muscles).