Commander Shepard does have children now that he has retired from his galaxy saving life. Shepard so far has had two kids with his wife; Liara. Shepard’s two kids are both still in their infancy since he has only started after he came through the wormhole, in fact Liara had twins. Also since Shepard went back in time he cannot spend time with either his mother or father as they have not been born yet. However even if Shepard was still in the time he came from, he would not spend parent days with his birth parents since he was orphaned as a child on Earth at a very young age. He would instead spend it with his orphan parents who despite not having much money since Earth had massive inequality, did the best they could in raising him. Clearly they did good since he became the ultimate badass. In the current timeline Shepard honours his parents by lighting some candles in front of photos of them thanking them for everything they did. Then spends time with his new family.