Definitely let them work it out. If the baby gets handed back to you every time, that will just become the expectation when baby gets upset. Can you pump milk for dad to give a bottle? We do that so my husband can help with feedings. Tell him what you want and need from him so it doesn’t seem like you are doing everything. Maybe talk to dad and explain you are just trying to give ideas that work for you when calming baby down. He probably gets frustrated because it can come across as you just telling him what to do and thinking he doesn’t know how to care for the baby. I had to have that convo with my husband too with our first and even this one since all babies are different.
Have sad give him paci, hold him close, swaddle him, pat him on back and make shushing sounds to soothe him. He needs to start doing these things so he can bond with his baby.
You have to let them figure it out alone. Leave for a walk or send them for a walk everyday. I am also EBF but my husband does more around our son than me.