Hi Nikki,
I think what might help is how you present this time of correcting her work. I'm actually in agreement with your husband, but for a different reason: I have read and observed enough over the last many years I've worked with children to see that rewards don't usually implement a long term intrinsic change in how our children perceive certain tasks. That is to say, if you want her to become motivated to do this on her own, you may need to show her a positive payoff after the work is done. For example, you might notice that she starts doing her homework more quickly in some subjects because she knows the material better. (this will likely be math and subjects that are less open to interpretation) You can point out to her when her grades on tests show improvement, or when she receives positive feedback from teachers: can you find a link between what she's re-checked herself on and what she's since mastered?
I think the most important piece of this is for you to do this work with her. Kind of like teaching youngsters to pick up their toys-- at first, for years, we have to do it *with* them while also providing feedback of the positives: "Look how much room you have for playing now!" or "Was it easier to find your legos now that we made a space for them to go every time?" -- that sort of thing.
I'd just tell her that you have a new plan you'd like to work on with her at the start of homework time: have a pleasant snack ready, and then sit with her and go over the answers that were missed, just for a half hour at most. You might find that she knows the information once you talk with her, and re-calculating sums/math work is always good practice. The two 'motivators': time with you and ideally, she'll be getting the positive and reflective/critical feedback from you. During the time you are working with her, the focus should be on knowing the material; afterward, when the positives emerge, then you can link that to the work she's doing.
I'd also prioritize, and keep the corrections focused on where you see the most need. You don't need to overtly say this, but you don't want to overwhelm her. Try to use the time well, and if there's a larger question/abstract problem, consider letting dad spend some time with her on the weekend, reexamining it.
Just so you know, I think it's great that you are trying to help your daughter. I wish my parents had been interested in my school life enough to help me study!