MAGMI versions prior to 0.7.24 are vulnerable to a remote authentication bypass due to allowing default credentials in the event there is a database connection failure. A remote attacker can trigger this connection failure if the Mysql setting max_connections (default 151) is lower than Apache (or another web server) setting MaxRequestWorkers (formerly MaxClients) (default 256).
All versions of MAGMI are vulnerable to CSRF due to the lack of CSRF tokens. RCE (via phpcli command) is possible in the event that a CSRF is leveraged against an existing admin session for MAGMI.
MAGMI versions prior to 0.7.24
The fix for CVE-2020-5777 is update to MAGMI version 0.7.24 whereas, there is no known solution for CVE-2020-5776 at this time.