Documentation. Dates/Times. Take pictures, video. Photos of ruined/dead livestock (pets).
Written notification. Put neighbor on notice. Send them a bill for your lost property. Take them to small claims court if they refuse to pay.
As previous post says, notify local sheriff. If they refuse to act, notify state attorney generals office with your complaint.
Most places you do have the right to shoot those dogs. It's your pets or its them. . .ask a "hunter" friend to help you with this problem.
Maybe. . .get your own dogs. We have problems when we and our dogs aren't at home. We got b-i-g livestock guardian dogs and they do not allow other dogs onto our property.
Good luck with this. . .just some ideas. . .I so sorry for your losses.
Yes, all of this! Definitely speak to animal control and the police. You need to get your complaints on record. Make a note of the date you called, what time, who you spoke to, and what was said.
Emphasize that these animals have killed not just your livestock, but they are also threatening humans in the area. They are wandering around in a pack and you're afraid to walk up your street with your children for fear of them rushing you. That normally makes the county sit up, listen, and do something tout de suite.