reporting verbs

I think it might be helpful if you provided a couple of examples showing the kind of context you are envisaging. Typically reporting verbs take a "that" clause. Some may be able to take object + to-infinitive, e.g. "I advised him to stop". Some may be able to take a gerund as an object; e.g. "I remember stopping". I don't know whether this is the sort of thing you have in mind.

By the way

He tried to avoid meeting her eyes.or, He tried to avoid to meet her eyes.
Are both correct? When do you put one and when the other one?

katinkaIs there an easy way to know if I write after a reporting verb a gerund or infinitive?

Reporting verbs? Here are a few:

He told me to go home.
He advised Jim to take calculus.
He said that Jim was a math genius.
He reported that the news was good.

For general verbs, memorize the list

katinkaHe tried to avoid meeting her eyes. Or, he tried to avoid to meet her eyes.

Avoid is not a reporting verb. It is in the list on the site I referenced in my last post.

katinkaHe tried to avoid meeting her eyes.or, He tried to avoid to meet her eyes.

Only the first is correct, but I don't see what this has to do with reporting verbs.

But is it also correct when I write p.e.:
He advised Jim taking calculus.

katinkaBut is it also correct when I write p.e.: He advised Jim taking calculus.

No.

What does 'p.e.' mean?

perexample

perexample.

I understand that it is better to learn the list with reportingverbs whetherit is with a gerund or an infinitive?