There are times when a baby just wants mom and nobody else will do. But there also also times when a baby just wants dad (or grandma/grandpa/nanny/other caregiver) and nobody else will do. Babies are just weird sometimes.
Other than those specific cases, calming a baby is mostly a matter of your skill and being lucky with your baby's temperament.
I have two kids from different relationships, and as dad, in both cases, I calmed down my kids better than the mothers did. They both relied on me specially in the worst baby crying situations.
I don't think I am an exception in ability or anything, I just cared to go learn a bit about babies, that's all. Thought a couple of friends how to do it, they also became very good at it.
My wife was better at some aspects or episodes than I was (especially if it was feeding as I could feed from a bottle eventually once I thawed and warmed and bottled the milk, but that took an eternity in crying infant terms), but I was better at staying calm and intrigued by how to solve the puzzle this time. If she got upset/frustrated because our infant was upset, nothing good came of it, and I am personality-wise better suited to plowing through that situation without [much visible] frustration.
Assuming it's not a fatal problem, eventually something will work; in the history of the world, that's never failed to be true.
I experienced a variation on that and learned pregnancy is not a vector space. My wife carried twins so when I asked about the "new kid == n weeks of leave" it was _not_ multiplicative. I only got n and not 2n. Boo.