Which design pattern to use with each factory instance requiring different method signatures?

I am facing confusion regarding which design pattern to choose.

I have a requirement where the API can connect to different source of information. Also, based on the data source its connecting to , method signatures including parameters and return types will change.

I was looking into factory pattern. But i am facing issues while creating above said method signatures.

Can any one advise what will be a better design to this scenario?

Regards

Varun