Let’s look at the following example:

Event 1: Yesterday, after having rehearsed,

Event 2: They prepared for the performance.

To join these two events, use after or before as corresponds:

Resulting sentence:

Yesterday, after having rehearsed,	they prepared for the performance.
Event 1	Event 2

Now let’s look at an example for the reading:

Last night, after having sat through nearly three hours of torture at the Hohum Cultural Society’s “production” of Verdi’s “Aida”, I decided to have a few stiff whiskeys at “Tom’s Irish Pub” to recover.