There are many variations of Labradoodles with the F1b being the most common and was created by St. Clair Labradoodle Kennelsby crossing an F1 Labradoodle back to a poodle . This is known as a `` backcross '' Labradoodle and improves the coat qualities of the breed . Others are breeding Labradoodle to Labradoodle over successive generations , and trying to establish a new dog breed .