How can I hook up Sat and DVD to a sansui smart tv without coax

What makes and/or models? (TV is Sansui as I understand your post but models can and do vary....)

What ports are available? Do you mean that your incoming Sat (satellite) connection is flat antenna wire? Or is it coax and all you need is a coax to some adapter to match the TV and DVD player?

Do you have the respective User Manuals/Guides?

The manuals often show diagrams presenting possible hook-ups via various device combinations.