Putting on my publisher hat for a moment...you can't. They will almost never come to you - you have to come to them. Literary agents and traditional publishers are already swamped with submissions - they're not going head-hunting for new authors on websites like Tapas.
For a series on Tapas, that's an even harder sell, as a publisher wants to be the first to publish a work - they want first publication rights, not reprint rights, and the threshold for getting a traditional publisher to reach out and pick up a self-published work is insanely high - as far as I know, Wool had already made its author a million dollars by the time he was contacted by a publisher wanting in on the action. So, if your series gets a million views, you might have a chance - otherwise, not happening.
(Now, Tapas does partner with publishers, but the form that takes is providing a venue for those publishers to publish their author's work. I don't know how their selection process works, but I could not get them to answer my emails.)
So, what you need as an author to get a publisher or agent is:
A completed novel that has not been published elsewhere that is REALLY good.
A professional demeanor.
For an agent, ideally, a publishing contract with a traditional publisher for them to negotiate.
And, I'm sorry, but it often does end up being a Catch-22. The best way to get a literary agent is to contact them with "I have this publishing contract and I need somebody to negotiate it for me" - that's how I got mine, back when I had one. And the sheer length of time I had to wait for replies as an agented author in the fantasy genre between 2002-2012 is what killed my fiction career and made me give up on traditional publishers for ever getting my work out (Re:Apotheosis is going to be published as a print and e-book, but through MY publishing company).
Now, you can certainly go looking for a publisher - I would actually recommend trying the smaller ones at this point, as the slush piles for the bigger ones were measured in years last I checked (which was, granted, about a decade ago). But, another option is to take the time to learn how to typeset a manuscript, use the software you need to do book covers, and start one of your own. You'll take all the risk, there will be a lot you need to learn, and you'll have a lot more work to do to get it out, but you'll also get to keep all the money the book earns its publisher.