The glute is designed to be the primary mover in hip extension. The hamstrings and lumbar erectors are designed to assist in this movement, however more often than not they become more active than the glute and become the dominant movers. Essentially you need to restore a balance of strength and recruitment to that area. This begins neurologically so targeted isolation excercises such as quadruped extensions, hip bridging, band walking ect. need to be used so you can teach yourself to recognize when the glute is firing and perhaps more importantly when it is not.
In regards to the low back, it is important to realize that in theory it is designed to be stable while the hip is mobile. That is why through the process learning to fire the glute while maintaining posture in the core is critical. Excercises such as the Cook hip lift place you in a situation where you can get an appreciation for how little range of motion you have without heavy low back or hamstring contribution. Planking and bridging are two simple excercises that learning to do with perfect form will go a long way setting a foundation for more advanced movements, try taking the time of the holds down to 20-30s each and to focus on your posture throughout.
I would also recomend investing in the flexibility of your hip flexors, as restrictions in this area will inhibit glute function and increase stress on the low back, not only in training but day to day life as well.
A basic kneeling hip flexor stretch is a very practical way of doing this. While doing this squeeze your glute as it will give you a slighty greater range of motion for the stretch and reinforce firing in that area.
The real crappy part of all this is until the glute catches up to the rest of the posterior chain, compound excercises will continue to favor the hip extensors that are stronger, in this case the low back and I'm assuming hamstrings as well, so while supplementing hip excercise will help, the gap won't narrow nearly as quickly and you are still at an increased injury risk. I would recomend biting the bullet and taking some time to just focus on your particular issue which is the activation of the glute and training core stability as well as hip mobility. Exercise execution is important so hit youtube on some the guys the other commentors mentioned so you ensure you aren't shooting yourself in the foot. It takes a lot of time to fix an imbalance that developed for years, so keep that in mind as well. 15 minutes a week on isn't going to get you results.