Please check the A13 or iMX233 Wiki articles to download suitable image for the 4.3'' display.
I bought A13-LCD43TS but there is no connector cable included in the package. How do I connect it to my board?
We decided against putting a cable in the package in favor of price. Many customers already have an IDC40 cable, so it was unecessary to charge them for something they don't need. A cable might be purchased separately: CABLE-IDC40-15cm
I bought A13-LCD43TS but when I connect it to the A13-OLinuXino I receive no image on the display. What do I do wrong?
The default A13-OLinuXino image is set for a VGA display and resolution. To use LCD with A13-OLinuXino you need to upload new image with the appropriate settings. The download links for the images may be found in the wiki article for A13-OLinuXino: https://www.olimex.com/wiki/A13-OLinuXino