Walk around calling your cat as you always do. Look under bushes and in hiding places. Look at dawn and dusk with a flashlight to catch the glare of your cat's eyes. If possible leave your garage and lanai door partially open. Your cat will try to get back inside, especially during time when it is dark outside.
The only way to find the way home again is by smell. Use some of your used clothes, put them outside. A friend of mine used her shirt and dragged it through the neighborhood. Her cat found the smell and followed it home. It is all about the smell. You can also cut a shirt of yours into small small pieces and leave a scent trail back to your house. I read a few days ago that a lady put out a trace with the old litter throughout the neighborhood. It worked. Her cat came home!
Also try to distribute flyers throughout your neighborhood...as many as you can ( 3 miles radius at least). Check shelters in person...don't just call.
Put battery operated trail cameras outside. Your cat might show up in the middle of the night. When you know the time you can wait for for your cat and slow blink to make contact.
NEVER GIVE UP!
I read once that you can put a chair outside and cover it up with a blanket and the cat can jump up and hide under the blanket and feels safe. They said you should put one of your shirts under the blanket and food and water next to the chair. It might be worth a try.
male at shelter no picture A2407162
Located At: Miami-Dade Animal Services
Kennel Number: RECEIVING
Description: I am an unaltered male, gray Domestic Shorthair mix.
Age: The shelter staff think I am about 3 years old
More Info: I have been at the shelter since Nov 09, 2022.