@jaesunlim soldering connectors back on a flex is almost impossible. In your case, it looks like the flex itself is tore where the connector goes. Replacing the flex is really the only option here.
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Use this document [link|https://www.ifixit.com/Document/G5YpdRVT35SoASbb/Sony-ILCE-6000-%CE%B16000.pdf|Sony ILCE 6000 α6000 - iFixit|new_window=true] to work on your camera. It will also have the part number for the flex cable etc.
@jaesunlim soldering connectors back on a flex is almost impossible. In your case, it looks like the flex itself is tore where the connector goes. Replacing the flex is really the only option here.