Hey mama! Immunising pharmacist here 👋🏻 This is very common with immunisations, not just with babies but people of all ages. Immunisations of any kind can make people (inc babies) can feel sleepy or unsettled after having their vaccinations, for around 1-2 days afterwards. I recall when my daughter had her 4 and 6 mo injections she was quite unsettled and extra tired after. So long as baby is still eating/drinking normally and not having a high temp there shouldn’t be any concern, but if you are ever worried don’t hesitate to contact your GP or whoever looks after your little one ☺️
It’s not uncommon with vaccinations, but if it’s an ongoing thing where Bub is unusually fatigued; I would probably speak to the gp.