  We prove local-global compatibility results at $\ell=p$ for the torsion
automorphic Galois representations constructed by Scholze, generalising the
work of Caraiani--Newton. In particular, we verify, up to a nilpotent ideal,
the local-global compatibility conjecture at $\ell=p$ of Gee--Newton in the
case of imaginary CM fields under some technical assumptions. The key new
ingredient is a local-global compatibility result for $Q$-ordinary self-dual
automorphic representations for arbitrary parabolic subgroups.
