The media player supports Android 11 with USB connection, but there is no specific information on recognising exFAT-formatted external HDDs or SSDs. Similarly, there is no explicit confirmation on the playback of MKV films in the information provided. As Android 11 and Google TV usually support exFAT and MKV formats are common, compatibility is likely, but not officially confirmed. For a reliable statement, we recommend a direct check or enquiry with the manufacturer.