ANSWER:

There is nothing wrong in letting your baby cry for a few minutes while you are offering your salah. This will help the infant to self soothe and also clear out their lungs.  

Kindly refer to the following link(s):

Are the Sunnah prayers ‘Must’ for the validity of the five daily prayers?!

Muslim Prayers(fard, sunnah, night prayer and witr) | Assim Al Hakeem

I have a baby of 2.5 months old. Often it happens that whenever I offer salah after making my baby sleep, she gets up and starts crying. Though my mother in law tries to soothe her but sometimes she continuously cries that affects my prayer. My Q is which rakahs are there in the 5 prayers that I can skip and which are the rakahs that I have to complete whatever the situation is.