Probably nothing more than usual. The local operations you can do to entangled particles are all commutative w.r.t. the operations applied by the other side. So

Probably nothing more than usual. The local operations you can do to entangled particles are all commutative w.r.t. the operations applied by the other side. So whether they happened at the same time or before or after or slower or faster than the other side doesn't affect the local outcome (That should also make it clear why you can't use entanglement to communicate instantaneously: the other side must get the same results whether they measure before or after you've sent your message. So if entanglement allowed communication instead of just esoteric types of coordination, you could use it to send messages backwards in time.)