Create facebook shopping store in php myql

One option would be to use cURL on your site and automatically upload products.
You will need cURL to log into your account first.
Use cookiefile and cookiejar to save your sessions.
These types of logins can get extremely complex making you examine cookies and headers in your browser and then replicate that behavior in cURL.
Things can get tricky if the site uses javaScript as in setting cookies.