Find and highlight (using formula) names from a cell that contains the full name

Yes, the title is a bit confusing but if someone has a better way of explaining it (after reading my post) please do let me know, I would gladly replace it! :-)

Anyways, here we go.

I have one list of names. These are full names. For example, a name in the list would be:

Junior John Jeremy Jackson Juvenile.

Then, I have another list of names but they are partial names but belong to the above mentioned list. For example, a name in the list would be:

Junior Juvenile.

It is to be noted that both names are actually belonging to one person but one name is short and the other full.

I want to use Junior Juvenile in order to highlight Junior John Jeremy Jackson Juvenile.

I think there would be a way do it using Conditional formatting but a formula would be also much appreciated.

I really hope I explained it well.

Thank you very much guys in advance!

No, it is not confusing or difficult.

I am making it confusing and difficult.

As you can see in the attachment.

There are short names and then full.

They are also mixed in together (up and down).

We just have to find which belong which and eventually highlight.

Thank you very much for your prompt responsiveness!

Wow, man, amazing!

What a life saver!

See, you did in a jiffy! :-D

But here is another concern.

How would I simply highlight column A by using the names in column B?

Basically, I am kind of suggesting and requesting whether there is a way of using Conditional Formatting by simply selecting both columns in order to result in highlighting those that belong to each other.

The formula is impressive but I will be never able to learn it. :-(