Do you ever get embarrassed when you’re speaking another language because of all the horrific grammar mistakes you just ...

Both are perfectly correct and sound perfectly natural in this example, so use either or both. Generally speaking, the participial clause, starting with -ing or -ed, is more characteristic of ...

Check in your grammar books or dictionaries and see ... in English are irregular and I am afraid it is a matter of learning what is correct in each case as there is no clear pattern to follow.