After+ ing form

Fede when should one use the ing form after "after"? Is there any particular rule for that?

Use -ing if it's a verb, of course, but other than that, your question is a little too vague to answer.

After going to the movies, we drove home. ~ After we went to the movies, we drove home.


CJ

I try to explain better my question. Could I use after + ing form also when the sentence is in the past like for example

After going to the movies, we drove home (to me it sounds not correct because the first verb is in the present and the second one in the past, so it seems there is no concordance) or should I use the perfect participle, like:

Having gone to the movie

FedeAfter going to the movies, we drove home (to me it sounds not correct because the first verb is in the present and the second one in the past, so it seems there is no concordance)

That's fine. Despite its name, the present participle is not a present-time form. It can be used for past, present and future situations depending on the time-reference of the se

FedeAfter going to the movies, we drove home.

~ After we went to the movies, we drove home.

FedeHaving gone to the movies, we drove home.

~ After we had gone to the movies, we drove home.
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Because of the word "after", the time sequence is obvious, so there is no need to use the longer form w

We drove home after the movies

You are confusing the -ing form form as used in continuous tenses with the -ing form acting as a noun (the gerund) They are different things. After a preposition, it is common to use the -ing form.