Complex sentence: A poodle hybrid is a mixed breed dog or crossbred dog, not a biological hybrid between two different species, since all dog breeds belong to the species "Canis lupus familiaris".
Split into simpler sentences: A poodle hybrid is a mixed breed dog or crossbred dog. In biological terms, this is an intraspecies hybrid, rather than a hybrid between two different species, since all dog breeds belong to the species "Canis lupus familiaris".