If I bake bbq chicken and veggie lasagna at the same time, will I ruin either one?

Both the chicken and the lasagna are supposed to bake at 375 for 30 mins, but I’d hate for the lasagna to smell or taste like bbq sauce, or something. Will one dish take on the flavor of another?

I need both to be done at the same time. I know it’s a weird combination, but I asked my friend what she wanted for her birthday dinner, and this was it.

Thanks!