Received verbal offer from a big company with current layoffs that is also consolidating. How likely is it that I’m getting burned?

If the company just had layoffs you are relatively safe surprisingly. It's very common for companies to hire post layoffs even though it's a gray area. Usually when there are mass layoffs, and entire teams are cut, a few things happen. First, top performers are moved to safe teams. Second, low performers across the company, some in important positions, are let go at the same time. It's easier for everyone to say you were laid off, rather than fired for performance. When the dust settles, they often need to fill in some of those slots with new hires.