It is unlikely (but not impossible) for the communities you tag on your routes to propagate past your upstream. Most providers will strip the communities out before readvertising routes up/downstream.
If you want to influence multiple remote ASes in this manner, you would need to use AS_PATH prepending. Prepend 2-3 times to your backup/passive provider, and then all traffic will flow down your active path until it fails. Then traffic should shift to your passive path once the failed route gets withdrawn.