Loud sneezing or making sounds while eating makes me go mad. What to do in such situations without making anyone feel embarrassed?

Perhaps consider a new environment without those triggers. If the environment cannot be avoided, perhaps taking a break from the environment if your emotions feel out of control is another option.

I don't know about the first but with the second one: just talk to the person. Say how you feel about that and I'm sure the person will understand. If the person knows that it isn't about them but in general I don't think they will be embrassed

Headphones can be a possible solution, if the company you are with makes sounds, politely ask them to stop.

Nothing first of all dont think about people just concentrate on your work amd do it properly and too much

You should just kindly ask them to use their sleeve/arm when sneezing or chew with their mouth closed.

With regards to loud sneezing, it's not something that the person doing it can really control, since a sneeze comes very quickly. Regarding eating sounds, music definitely helps drown out the sound. Also, if you're at a busy restaurant, then you're also in luck, because the sound of other people talking drowns out the sound of eating. Other than that, the best thing to do is to kindly ask the person to slow down with his/her eating.

You can find ways to take yourself away from the situation if you feel uncomfortable. You won't seem annoying or strange, it's fine to be annoyed too. Remember that if you have an issue you can always be confident knowing other people have probably had issues with stranger things.

Just be polite and kind when you address the issue. Also, you could do so in private so that they don't feel embarrassed about it.

You excuse yourself in the politest possible manner and or pretend to get a very important phone call, either way walk away from the situation as possible. If however you can’t, try to drown the sounds by some conversation by those around you. Other then that, I would say there’s not much you can do. If worst comes to worse, you could always try to avoid that person altogether but that might be challenging, especially if they suspect that you are mad at them. In that case, you’d just have to approach them and say hey, you sneeze too loud or you chew too loud and it’ll just make things awkward and embarrassing.

If an issue like this is seriously bothering you, sometimes the best thing to do is to take yourself away from the situation for a moment to calm your mind. Head to the bathroom, outside, or somewhere away from the situation to allow yourself to calm down. This can allow you to come back with more tolerance for the noise, or it may have stopped by the time you return. Pointing it out in front of everyone may embarrass them, however if it is someone you feel comfortable with you may be able to discuss the issue with them in private so they can be more sympathetic towards your concern