Hip Hinge movements and mobility

I have recently discovered that my hip hinge is shockingly bad, very tight posterior chain + possibly bad motor patterns as tonnes of mobility hasnt seemed to improve my hinge at all (i would struggle for the bar to pass my knees in a romanian deadlift even with some knee bend.

Can anyone recommend some hip hinge exercise/drills and maybe some progressions to include in warm ups etc.

Also how important is being able to touch your toes through a correct hip hinge when deadlifting from the floor.

Thanks.