Suppression of facts and its details in Central Gov interview - Is my employment liable to be canceled because of that at any time in the future?

I have joined a central govt. organization X recently two months before. Previously I had worked for hardly a month in a PSU Y. During the interview in the Central govt organization X, I was employed in Y (but it had been only 10 days). My Mistake: I did not disclose the employment in Y while interviewing at X. But later when the interview result came, I immediately informed them about my employment in Y by an official mail to X to which they rightly replied and asked for relief. Also, I have disclosed all facts rightly about my previous employment while joining in X. Now as I have the relieving letter plus No Dues certificate from Y and that too I have submitted in X which they have accepted as well, will the issue of non-disclosure at interview be a problem anymore in future. Is it still a matter of suppression of facts? Is my employment liable to be canceled because of that at any time in the future?

Please note that I have a written disclosure regarding my employment at Y which I had mailed prior to joining at X just after interview results came where I have justified why I could not disclose the same during the interview. Is there anything to worry about now?

Dear friend,
You need not worry since you disclosed the fact of your employment with Y soon after the result of the interview i.e., well before your joining and as per X's instructions you submitted your relieving orders from Y and permitted to join duty. Thus the matter is amicably settled.

The suppression of facts comes to play, if your employer comes to know after your joining. Now you have provided all information and document pertaining to previous employment to the employer prior to joining and they accepted it without raising any objection.
Therefore, you should not worry at all in vain rather stay quiet as the sky is calm. This is a lesson for you, how you made the entire things smoky revealing some facts in the midway and which creates a lot of turbulence in your mind. Always try to be honest to your own conduct (i.e. either to disclose or not to disclose decide before hand but you should keep it mind that we can not hide something for ever).
Till now your new employer raised no question on the subject means it is all clear. Good luck.