This is a serious problem... if you don't have any "employers", then your site has no credibility with "employees".
And, if you don't have any "employees", then your site has no credibility with "employers"...
At this stage, there's no way to attract paying "employers": but it will be difficult or impossible to attract "employers" even by offering a free service (if they can't see the point)! This matches what you have observed.
I'd characterise this as a data problem. As long as your site has no data, nobody will contribute new data.
This leads to a further, more serious problem: as long as you have no users, you can't tell whether your site is not attracting users because you don't have any users, or because people wouldn't be attracted anyway. Therefore, you can't test and improve (iterate) your product. Even if you do try to work on it, it won't be obvious what to improve - you'll be putting in a lot of wasted effort.
Since you've not given a specific description of your site, it's hard to figure out how to bridge the data gap.
You have to solve the problem of each side of the equation.
How can you get "employees" to post the required data? How can you get "employers" to post the required data? This is for you to decide. But, if you can crack one side well, the other side will naturally follow them.
Obviously, the "employees" will only post the data if they observe some chance to get a job.
Is there some other way you can help them achieve this goal in exchange for this data? It's not obvious that there is a directly relevant service, but... maybe, by acting as a central repository to submit their data easily to competing sites? Maybe, by offering some related service such as resume checking?
But, in the end, this seems like it might be a poor business model. I would advise you to move away from this model with prejudice. You will most likely benefit a lot more from "pivoting" your website to offer a service which is less reliant on existing data and more attractive to early adopters - then you can start to improve your offering and grow your user base organically. Use what you have learned, in building this app, to come up with an alternative that starts working for customers without needing to be huge before it starts.