My 15 month old daughter does this sometimes. Last night she was upset that we weren't playing with her (working on our computers). She would come to me and cry. Dad finally picked her up to hold her and play with her, but she screamed worse!! So, I had to hold her. As soon as she was in my arms, she laid her head on my shoulder and was quiet. A few mins later if I tried to give her back to Dad, she would start screaming again. It hurts his feelings too. So I played with her alone for a few minutes, then Dad came in and joined us. The 3 of us sat in the floor and played with her blocks together. She had fun then! After a bit, Dad had to take the dog outside, and our daughter cried when he got up and left! haha
Maybe you could try doing things together. Try holding your son while Dad holds the bottle or vice versa. Find some things the 3 of you could play together, on the floor, with his toys, etc.