I'm getting a little different read from the OP. I don't see this as a Mother/Daughter issue. It's more like both have different expectations for the dogs' behavior.
First off, it's not clear just whose dogs they are. All I see is that she posts that WE have these dogs. Second, the behaviors the OP complains about are the barking when Mom comes home and the dogs running around when the OP has friends over.
I think Mom and OP need to come to a middle ground here. Perhaps Mom could not feed into the frenzy when coming home by ignoring the dogs for a minute until they've calmed down a bit. And the OP could entertain friends in an area of the house where the dogs aren't around. This may be the best compromise they'll arrive at.
Not everyone wants their dogs 'trained'. Some just want to love and spoil them and that's their right. Again, it's not clear whose dogs they are but I suspect they are Mom's dogs. If that's true, giving a little ground by both may be the only workable solution. I'll also point out that since these dogs are crated at night, they need to run off any pent-up energy during the day so they are not so excitable but hey...one of them
IS a Yorkie....so we know how that goes
.