Not home yet is used more commonly but not yet home is still correct, but it is used in another context.
look at her laughing you haven't kissed her yet
Check the left side of them.
It's not yet
The English term 'yet' has several senses or meanings: 1: used after a superlative; 2: to a greater degree or extent; used with comparisons; 3: up to the present time; 4: within an indefinite time...