Phago-lysosome
These are also known as hetero-lysosome or heterophagic vacuoles.
Substances are also brought into the cell either via endocytic pathway or via phagocytosis; these form a vesicle known as endosomes. These endosomes combine with primary lysosome to form Phago-lysosome.
Cyto-lysosome
Also known as autophagosome, autolysosome or autophagic vacuole.
Sometimes, cell components like ER, Golgi complex, mitochondria etc. break open inside the cell. This debris combines with primary lysosome to form cyto-lysosome.