OK, so how and where did you format? If it was in Windows and you did a Quick Format, chances are that all your data is still on it! Because quick format simply deletes the references to your files but not the files themselves. (BTW, also a full format leaves traces of the original ones and zeroes, but that probably requires a specialist to get the files back).
I have in the past successfully retrieved data from a disk (either SD or different) by looking around for software that does it, with Google. This becomes shady quite quickly, with results that possibly include stuff you don't want on your computer.. Search for "SD Card Data Recovery". BTW, I just did and Easeus came up, I think I used that.