OK, so I understand that when it comes to dogs and furniture, people either have dogs that get possessive/dominant about being allowed on the couch, so they aren't allowed up at all, there's the group that allows their dogs to get up on anything they wish whatsoever, and then there's the group that allows certain pieces of furniture and/or the dogs can get up with permission only.
Truthfully, I am not particularly worried about the dominance thing, but while I realize between Sasha and our cat Dexter that I will never be fur free again with my black work pants (hurray for lint rollers in my work desk), I do not want to be covered in fur when I sit on the couch and therefore have pretty much decided Sasha will not be allowed on any furniture at all.
I let Sasha into my lap pretty much when she wants if I'm on the floor, but she understands and responds fine to if I have to get up, even if it's 2 minutes later, that I will carry her to her bed and say "good bed", whereupon she usually goes right back to sleep. My boyfriend does the same. I'm happy about that.
My boyfriend ALSO, however, has gotten into the bad habit of letting her in his lap while on the couch, saying to me "Awww, but she's such a cute puppy! Everyone loves a puppy!" I wonder if this contributes to when Sasha is in her "bratty" moods - we'll be on the couch or chair, and she'll look at us and start doing little lunges, barking, touching our legs and the furniture with an open mouth, but only will mouth on the furniture, not usually our legs (she does grab clothes sometimes though) and growling. If we try to reach down and pet her or ask her to settle when she's like this though, she WILL mouth at our hands. If we try to pick her up she'll try to mouth at anything she can reach and growls a little as well. Luckily it doesn't feel aggressive to me right now, but I worry about whether we're handling these situations correctly. We've been trying to tell her settle in a nice voice, off in a firm voice, or redirecting her with sit/down exercises or toys, but honestly nothing seems to calm these moods of hers except putting her calmly into her xpen for a timeout with a few toys, which leads to either whining/sleeping. Even after 5 minutes of the training she'll go right back to barking/growling/lunging
Anyway, I haven't figured out if she does that because he's up on the couch with her in his lap only all the time, so she wants to get up when we're up, or if she's having a tantrum because one of us won't sit on the floor with her. Maybe it's both?

We're not really sure how to train her to "ask", but I do understand that if she's consistently and firmly told "off" when she jumps up that eventually "off" can be used to have her get off the furniture if we want to sit down or simply don't want her up there.
Read around this forum a lot and people seem 50/50... I just can't make up my mind, and if the boyfriend doesn't stop putting her in his lap while he's on the couch, I may not be able to have a say anyway! And I'm sure what he does isn't helping her current training either