Here you can find all matches stored in the company database. We do predictions using this matched data.
(When used as an adjective modifying data, we use the word matched.)
(As others pointed out, it's "Here you can find," not "Here you can found".)
We could also change the subject to we instead of you:
Here we can find all matches stored in the company database. We do predictions using this matched data.
But enough of all that. Your question was about the word this.
That's a tricky question, because the sentence can be written with that word omitted, or with that word included. Both sentences would be grammatical, and both would mean almost the same thing:
Here we can find all matches stored in the company database. We do predictions using matched data.
Here we can find all matches stored in the company database. We do predictions using this matched data.
The first sentence says that the company does predictions based on data matches in the database.
The second sentence says that the company does predictions using the data matches found in the database.
The difference is almost imperceptible because of the tense you've used in your sentence. If the company regularly looks for matches and then does predictions based on the matches that are found, either one can be used.
However, if we change the second sentence to past tense, and we are talking about the set of matches we just found, then the sentence reads better with the "this" included:
Here we have found all matches stored in the company database. We did predictions using matched data.
Here we have found all matches stored in the company database. We did predictions using this matched data.
If we are talking about very specific predictions done on very specific data (that is, the data we just found), we can indicate that by leaving the "this" in.