Does M Facebook com proxy makes the application secure?

Regarding the security of M Facebook com proxy - It depends.

Facebook analyzes the locations from which you use to log in from. Depending on where your new IP is located, Facebook may, or may not, give you access. Remember that it has never been your account in the first place. In the case where Facebook finds the new location suspicious, it will use another means to validate your identity. (E.g. an email to validate your attempt.) Once you validate that new location, you should be able to connect. I don't know the details of the algorithm that decides whether that new connection should be considered as an abnormal behaviour. Several parameters come to mind, such as the distance between the locations, the time since your last connection, and so on and so forth. (Someone logging in from Russia one hour after logging in from the USA 1 hour before is kinda suspicious.) Anyway, if you have total access to the mailbox and/or the phone number associated with that account, you should be fine.