Add product to cart from 3rd party product configuration script?

[shplanck]

I need to be able to add products to the cart from a script that configures automobile floor mates. Here's the floor mat configurator:
https://ocdcustoms.com/newsite/lloydmats
The customer selects the year, make, make, model, and desired features to determine price.

I need to then add the configured product to the cart.

Anyone know how I can achieve this?

I'm using VM 2.0.6, and Joomla 2.5.3.

I'm no noob, but I can't seem to figure this one out.

I'm willing to pay for an extension or help to accomplish this. Just really need to get it done asap!

Thanks very much for your help!