Thanks for your report.

Unfortunately, I haven't been able to reproduce it on 68.0.3440.84 on Mac 10.13.6 by setting the two flags documented here. I've tried in both signed-in and signed-out states.

Can you attach a screencast of how this looks when force-ui-direciton is Left-to-right?

Also, do you have a language set in Chrome, or in your google.com account?

Update: 
With respect to comment#2:
In stable build on 68.0.3440.84 on Mac (10.13.6) OS issue is reproducible and when force-UI-direction is Left-to-right Issue is not reproducible that is working as expected.

No language is set in chrome and My google.com account.

Attaching the screen cast for both the scenarios ,kindly refer from drive link
https://drive.google.com/open?id=1yRlfNlvNXjRkwtuurLbmQXeI019Mgzr4.

Thank You.

Please see https://bugs.chromium.org/p/chromium/issues/detail?id=871162#c3 for reference

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Thanks for looking at this Weilun! Based on the screenshot in comment 6, it looks like this will be resolved by fixing  issue 871162 ? If so, you can mark this as blocked on 871162, and then close this bug once the fix for that one has landed.

The following revision refers to this bug:
  https://chromium.googlesource.com/chromium/src.git/+/81684566d2778f74e9d07d4e3ac9a8cc320100a1

commit 81684566d2778f74e9d07d4e3ac9a8cc320100a1
Author: Weilun Shi <sweilun@chromium.org>
Date: Wed Aug 08 01:46:35 2018

[NTP] One Google Bar align to left when using rtl language

Change the one-google bar css setting from align to right to width:100%,
which consistent with the google.com setting. OGB can now automatically
align to left or right based on the language preference setting. Also,
the profile icon will not be invisible on rtl mode.

Please see https://bugs.chromium.org/p/chromium/issues/detail?id=871162#c3 for reference.

Bug:  869610 ,  869341 
Change-Id: Iac7e015a5506cd8bcd82ef94d237790210a5fba8
Reviewed-on: https://chromium-review.googlesource.com/1165534
Commit-Queue: Weilun Shi <sweilun@chromium.org>
Reviewed-by: Kristi Park <kristipark@chromium.org>
Cr-Commit-Position: refs/heads/master@{#581434}
[modify] https://crrev.com/81684566d2778f74e9d07d4e3ac9a8cc320100a1/chrome/browser/resources/local_ntp/local_ntp.css

Update:
Rechecked the above issue on Win(7,8,8.1,10) and Linux(14.04) machines using latest canary build #70.0.3517.0 and issue is still reproducible.

Note: Mac build # 70.0.3517.0 is not available yet. Hence unable to verify on it.

Please refer below attached screen-cast for reference.

Thank You.

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	Canary Behaviour #70.0.3517.0.mp4 1.3 MB View Download

Please see https://bugs.chromium.org/p/chromium/issues/detail?id=871162#c3 for reference...

There is an error in the right-to-left flag and the correct way to open rtl mode is by typing "LANGUAGE=he path/to/chrome".

Update:
With respect to comment#13: Rechecked the above issue on Win(7,8,8.1,10),Mac(10.12.6, 10.13.1, 10.14, 10.13.6) and Linux(14.04) machines using latest canary build #70.0.3518.0 and issue is fixed.

Please refer below attached screen-cast for reference.

Thank You.

Deleted: Fixed_Behaviour.mp4 1.6 MB

	Fixed_Behaviour.mp4 1.6 MB View Download

Does this need to be added to remote NTP?

I think this one was always correct on the remote NTP