Following the events at the end of season one, the family of Jerry, Damian and their four year old son, Kai, now have an additional, uninvited guest––Jimmy, Damian's son from his previous marriage in California, whose unexpected arrival to Taiwan brings much turbulence to the otherwise peaceful family.

Damian's gentleness towards his ex-wife Kate as well as his love for Jimmy fills doubts in Jerry's heart, fearing that the bisexual Damian might revert to liking girls. Elsewhere, Jerry is also having to deal with his persistent mother, who is constantly pressuring him to make his own baby. Meanwhile, Damian, on the other hand, finds himself in a predicament between taking care of Jimmy and facing Jerry.

Season two of Papa & Daddy focuses on the intricate dynamics between queer couples and their families. Straight or gay, managing a long-lasting relationship will always require wisdom.

Damian, 38, is an overseas Taiwanese, divorced his wife and returned to Taiwan to open his restaurant, Verso. While at Verso, he meets Jeff. Their relationship intensifies and Damian yearns to start a family, with Jeff reluctant to take on parental duties at such an early age. Four years later and through surrogacy, they are now gay parents to a four-year-old boy. Jeff still has not come out to his parents and has now become a fulltime dad even though his parents still pressure him to marry a woman. Damian is busier than ever at Verso and their son Kai is just getting ready for pre-school....