If you need to strengthen your glutes I would suggest strength training would be better than running drills.
Glute bridges and squats would be good to target those .
Only running drills ive ever really done is strides and occasionally butt kicks and high knees. But i don’t see any great strengthing benefit from those.
N=1 and I’m not a physio but I think it’s a general misconception about weak Glutes - they’re incredibly strong muscles. It’s more about the fact people aren’t using them to the optimal extent when running (I think??).
During rehab for ITB the lightbulb for me was the sensation of the glute activation whilst doing things like single leg glute raises. Then taking that into walking and running - trying to feel the same sensation when running - really worked for me.
That being said I don’t want to knock S&C - squats, deadlifts, bridges and bench press all leave me feeling strong so try to still incorporate that into my general fitness regime.
Back to running - I always do single leg glute bridges before a run just as a reminder to the body.
Also paying attention to stretching - anecdotally I always get hip niggles when I’ve not kept on top of tight hip flexors and lower back from sitting down or lots of focus biking.
This might apply but when im doing weights sometimes I cant always recruit the appropriate muscles. Two ways ive tackled it is to do isolation exercises before my main exercise and also just focus my mind on the muscles.
Maybe you could do some light glute work before a run to dial you into and then some strides where you just focus attention on those muscles and not letting your hip drop.
Maybe thats bollocks, im neither a physio or running coach.
I should add something else that really helped is standing in front of the mirror and lifting one foot slightly off the ground and trying to remedy the noticeable hip drop by ‘activating’ the muscles around the hip and bum (i.e. try to get a similar sensation to a combination of single glute bridges and clams) before going onto one leg.
Again you then try to take that sensation into how you’re landing when running. For ITB that really helps as it should help from your foot crossing the centre line, because you have better stability to allow it to land more under the hip.
hip obllquity (when running) is often caused by weak or inactive glute medes…running drills into running with good form will assist in this because it forces the runner to engage the core…clams and variations on stability planks will also assist.
however, step ups onto a box with a weighted bar and knee drive is probably the best exercise for developing glute meds and core strength. (Up to 3 sets of 12 reps with each leg leading, 3 x a week) start with a broom handle to get form right, progress to argos bar, then Olympic bar, then add weight…
I know huge studies have said the same when looking at life expectancy of former pros (except those looking at Germans) but Steve Magness always makes it interesting/accessible.
I’m sure that athletic ability has largely helped their longevity but a quick & random look at some of their wiki pages show that they have also been successful - - in their post-athletic careers…that’s gotta help.