Sun? Shade? What's your budget? Do you want to partially block the view of the driveway or would you prefer the area to remain open? Is a car parked in the old driveway often?

Heavy morning sun, afternoon shade— in Pensacola, FL. We do park in the old spot often mainly so we’re not blocking each other in but I’m not against parking elsewhere so open to those ideas! I’d say I’d like to keep budget around $500. Currently we walk through the grass space often but also not opposed to having something there that requires less foot traffic.

I'm not a designer and with luck one will show up here with better advice. If it were mine I'd probably fill it with a low-growing ground cover or river rock. Maybe someone will have a better idea.

It would for sure become more "driveway" in my world. The question of how depends on budget. You could dig out the turf, add the proper gravel then top it off with rock that's a bit more decorative..but that might create the issue of "will the stone stay put"? Just keeping the grass cut low and using it to park over will eventually kill the grass..so that's doable. Personally I would have my handy dandy husband get some cement and fill the triangle so it's all one large slab. While he was at it, it appears the driveway and the carport slab are not the same width. I would have that dealt with and bring the cement down the fence a but to square it all off.

Plant a small ornamental tree such as a Kousa Dogwood, Saucer Magnolia, Redbud, Fringe Tree or Silverbell-Halesia Sp. That will screen the carport, frame the front entry and shade the lounge chairs. Then fill the bed with regular Mondo Grass, Ophiopogon japonicus, as a groundcover.

I would turn it into parkable/driveable space too as part of a long-term plan to not have cars in the (existing) right-hand space.

Bags of quik-crete don't cost that much - do you have the time and the physical ability to remove the sod and mix/pour quik-crete?

I have an odd spot like that. I've planted it up with stuff that likes it sunny and dry. I'm in Maine, so I won't give you a list of what grows for me. If you are planning on paving it later, I'd buy a bunch of annuals and perennials and have a riot of color. It won't cost too much, look pretty and everything will be either disposable or easy to transplant when you do do something else.

A riot of color does not take much planning. Stick the taller stuff behind the smaller stuff, pick a color palette you like, but really everything in bloom will look great.