I'm in the "Not sure if I have it or not" category re ASDs, but I'm very bad at telling lies and would normally never do so, so maybe this will be of some use to you:
(Apologies in advance for the possibly inane examples; I interact very little with people, and have become increasingly unwilling to try and pander to people's expectations in any case, so I very rarely have cause to lie.)
If I must tell a lie, then while I'm making up whatever I'm going to say, I imagine that actually happening. So if, for example, I want to lie that I bought something at the supermarket when in fact I bought it at the corner shop, as I'm thinking up the lie that I went to the supermarket, I'll imagine myself going to the supermarket and buying it there. (So you'd have to imagine yourself doing, or saying, or thinking whatever lie your husband supplies you with.) Then when I'm actually telling the lie, I recall the imagined scenario rather than what I actually did. This works reasonably well, although I'm always very relieved when the subject is changed. If I had to tell a very elaborate lie, I would try and imagine everything in great detail beforehand, but I'm not sure I'd manage to keep it up.
The other thing, though, which is more pertinent to your question, is that I have to convince myself that the person I'm lying to doesn't deserve, or at the very least doesn't need to know the truth, or that it will make the situation much more annoying, difficult or unpleasant if I answer honestly. For me, this is mostly if someone asks me something that I don't think is any of their business. I'll still find it easier to bluntly tell them that it's none of their business, or to answer honestly and then watch them try and wrap their heads around the fact that, for e.g., I like being alone at Christmas. But if that tactic seems inadvisable, I can overcome my unwillingness to lie by reminding myself that e.g. how I'm spending Christmas is none of their business, and they shouldn't have asked me about it in the first place.
If your problem is white lies, i.e. being expected to say "I really like your new haircut" when you're thinking "what the hell happened to your head?!", a trick that works (a little) for me is to find something about it I do like and then compliment that. So with the haircut example, I might think the cut is horrible but they've had some highlights put in that are an interesting colour, so rather than "Wow, it's awful", I might say, "I really like the highlights!". That isn't a lie, so I can pull it off halfways convincingly, although I fear the initial look of dismay on my face is sometimes too obvious... Also, there is rarely a reason to feel guilty about making someone feel a little better about themselves, so lying outright in circumstances like that, if you can do it, is not wrong, IMO.