When will my Submissions appear on the engines.
 

Every engine and directory is different. In some cases, your submission will appear within a few days. In some cases your submission may be much longer and in some instances, your web site may never get listed by that submission. Because of this, the idea is that the more engines you submit to, the better your visibility will be and if you submit regularly (every month), you have a better chance of getting added to the engines that didn't add you the last time. Many engines and directories put you in a queue. Some will manually add you when they get a chance. Some will wait to check your site out for content.

No one can tell you the exact date but submit your website xml sitemap it will help

I think it takes 2-3 months to process on the search engines. It has more beneficial activity in SEO.

I think,
I will take 2-3 moths to all process.

Ya,
I will show in Google within 2-3 months.

About 2-3 moths

If the content is of sufficient quality, listing can be quicker with or without a submission.