Baba Berries This page first published: Dec 7, 2004 · Modified: Jun 19, 2018 · by CooksInfo. Copyright © 2020 Baba berries are large, firm, sweet red berries that look something like a raspberry. The Baba bush grows up to 10 feet (3 metres) tall, producing high yields. Baba berries are easy to pick. History Notes Baba berries are possibly a cross between blackberries and raspberries. They are found in the wild in California, US.