Unable to reproduce the issue on Ubuntu 14.04 using chrome stable #54.0.2840.100 and Windows-10 using chrome stable #54.0.2840.99 by accessing remote desktop connection.

Attached a screen cast for reference.

Following are the steps followed to reproduce the issue.
------------
1. Accessed remote desktop connection from Ubuntu 14.04 by connecting it with win-10.
2. Observed that both mouse and keyboard worked without any issues.

Reporter@ - Could you please upgarde chrome in Ubuntu 14.04 to chrome stable #54.0.2840.100 and please check this issue by creating a new profile without any apps and extensions and please let us know if the issue still persist or not.

ajwilliams10@sky - Please navigate to https://bugs.chromium.org/p/chromium/issues/detail?id=665311 in crbug.com and click on star icon beside the issue id in the top left cornor to get notifications.

Thanks...!!

Deleted: 665311.mp4 1.3 MB

	665311.mp4 1.3 MB View Download

Installed #54.0.2840.100 (using deb package from http://www.ubuntuupdates.org/package/google_chrome/stable/main/base/google-chrome-stable). Same problem, mouse works fine but no keystrokes transferred to remote machine. Note that I am using Ubuntu 16.04 not 14.04. Thanks.

Can you clarify what RDP client is being used? Is it Chrome RDP (https://chrome.google.com/webstore/detail/chrome-rdp/cbkkbcmdlboombapidmoeolnmdacpkch?hl=en-US)?

Chrome apps will no longer work on Linux some time next year, so it's unlikely this will be fixed. I suggest you use an alternative Linux RDP client.