MY 2003 JETTA STARTS GREAT DOESN'T RESTART AFTER SHORT DRIVE

What is your question?

A STARTS GREAT ATER IT HAS BEEN STTING AFTER A SHORT DRIVE IT TAKES A LOT OF CRANKING TO GET IT RIRE UP JUST REPLACED BATERRY A WEEK AGO IT ALSO JUST PASSED STATE EMMISIONS TEST COULD USE SOME HELP CAN'T DECIDED IF IT IS FUEL OR ELECTRICAL

What makes this problem better or worse?

it seems to be after hthe engine is warmed up