What's the secret? Communications. Don't say everything is fine if it isn't. Don't pretend that the potential saviour plans are more likely than they actually are.
Earlier in my career, I'd been through layoffs too. Management would say "this is the last round" several times. You could see teams vanishing from one day to the next. On a trading floor it's pretty obvious. But also in a major tech firm I'd worked at, it was the same, "this is the last time".
Fact is you don't know if it really is the last time, so don't say so. You can lay out the plan - staffers appreciate whatever detail management can give - and you can say why you think you're about to turn the corner. But don't act like it's a given.