Today, no one wants to make a sacrifice for someone else. Today, everyone expects help from someone else. first sentence is ok, but sacrifice is maybe a little too strong a word, unless the preceding context, warrants this word. second sentence (sacrifice) also needs to be justified by the preceding context. Else it sounds not wrong but not exactly correct.

Today, no one wants to sacrifice for anyone else. Today, everybody expects sacrifices from everybody else.

Sacrifice is too serious a word. You should say something simpler: everyone wants help from other people but don't want to help them.. or something.

Today, no one wants to make a sacrifice for someone else. I would say: 'Today no-one wants to make a sacrifice for anyone else. (no-one is negative so we use anyone) Today, eEveryone expects the sacrifice from someone else. I would say: Today, everyone expects a sacrifice from someone else. I hope this helps.