After intercourse with my husband, there were red pieces that came out. It was not liquid blood. What could it be?

Exam. You will need to schedule a visit for an examination to determine the cause and treatment. Without seeing it it is hard to determine. The most likely cause is small blood clots mixed with his semen and your vaginal fluid. If you have a mild yeast infection this could get mixed in as well. An Obgyn will examine you and determine if something is wrong.