Just do a Google image search for "couples erotic photo" and you'll find thousands of examples and tips.
I'm not shy at all but I can't imagine going to a studio and having a stranger shoot photos of us pretending to be candid or passionate
I know one budoir photographer personally. I have posed for her, but not nude, or in lingerie. I hate posing for photos. She's the only photographer who ever got me to relax for portraits. She's a woman I did crossfit with. We lifted together for about six months, but I wouldn't say we are friends. I just was at about her strength, and willing to hold or distract her baby when it was her turn to lift, so we often teamed up. Her studio is beautiful and cozy. It's more like a set than a typical studio. Elegant furnishings, great natural light. She is playful and engaging, funny and sweet. For about an hour, I forgot we were not close friends. She took the best portraits I've ever received. I looked happy and flirtatious. And those were just regular portraits, like you'd use as an avatar or on a business card. I'm going to pose nude in a bath for her at some point this year. If I hadn't agreed to help her round out her portrait portfolio, I'd never have considered the budoir side of her family's business.
I know another photographer who specializes in wildlife and nature shots. He's immensely talented. I posed for him a few times, and he's taken some candid photos of me. You can tell he has no eye for putting humans on film when you look at the candids. They're awful. In the posed shots, you can tell I'm uncomfortable. His prompt about halfway into the shoot? "Could you please try not to look terrified in every picture?" After a while, he switched subjects and took AMAZING pictures of my cat. I have an fairly close relationship with him. We're friends, and we've had sexual contact. We even tried to have intercourse a few times, but he always came the second he made contact with my vagina, never once even making it fully inside. So, we stuck to oral. Despite that history, he couldn't get me to relax and take beautiful pictures. I have seen other portraits he's done, and they're okay. Not great, but not dreadful like mine. Not to brag, but I'm very photogenic. Generally, photos of me are better than reality. Much better, in fact. So when portraits of me are bad, worse than reality even, it tells me the photographer should skip doing that kind of thing.
Comparing the two experiences, one with an established creator of glorious erotic art who just wanted to take some headshots, and one who is tremendously talented with animals and less so with people, I know the photographer is the key. The people who specialize should know how to get the results you want.
Having said that, I only suggested a session with a pro for one reason. They know how to do this, and the OP does not. I figured he and his partner could learn from the experience, and incorporate some ideas and techniques into their private attempts.