I haven't actually heard of any EA organizations laying off staff due to COVID-19. I wouldn't be surprised if you see very little loss of jobs at EA orgs specifically, or even none at all, over the last couple of months. Most EA organizations seem to have a decent amount of runway, and with a lot of EA donors employed in big tech, which seems to have been relatively stable throughout COVID, there is fortunately still a decent amount of income coming through.
That said, I suspect most of the financial and hence employment impacts of COVID on EA orgs will be in the future as organizations eat into their runway, especially this giving season if donors give significantly less than usual. If there's a big loss of jobs in EA orgs, I'd suspect it to hit around January or February, after organizations take stock after giving season.
All hiring and other activities at Rethink Priorities is continuing as normal without any noticeable affect from COVID-19.