Context is key. Post up a pictures or two. Typically however I would say backer rod and caulk or spray foam insulation.

I will get some photos. Thanks for your ideas so far.

wall gap

floor gaps

Yes, the asbestos floor will be undisturbed, and a new lvt will be installed over it. Most of the house is pine flooring. Lead out paint remover has been used to neutralize paint on the windows, and gloves/masks were used during demo. My question was about those gaps...do you think backer rod and caulking is the best option?

If you want the “best“ option, that would be reframing those walls to be plumb and sound. Did your engineer dig down below all the footings to determine depth and that it was resting on undisturbed soil?

What is undisturbed soil? I'm not sure  if the footing depth was evaluated. I'm waiting on the final report, but she didn't seem concerned about the gaps on the walk through.