Match values inside object and add them
General.

I notice that this question is a new expression of the other one you asked previously... but have now deleted!

In the previous question you didn't really explained something that becomes clear with this new one: you're looking for matching properties (with unknown names) successively at two nesting levels. In addition, 1st step works at level 1 of each object, while 2nd step works at level 2 for one object and level 3 for the other.

It's not a good idea to have deleted your previous question because, in the other hand, it showed an example of the involved objects structure. Since I remembered that, I could understand what your current code does (and BTW, understand what was not previously clear).
At the opposite, for somebody reading your current question, and without the knowing of the structure, it's pretty hard to see what your code is intended to.

About the current code.

The part of code you posted is inconsistent:


Its 2 last lines show that it's part of some loop, whose beginning is missing.
Yet at the beginning, it also lacks at least a declaration var aSelData = [];.
The assignation oPushedObject = {}; is out of date: this object is named oPushObj in the rest of the code.


Technically speaking, there are 3 points to notice:


Apart from its erroneous name, the above cited assignation should be var oPushObj = {}; in order not to pollute the global space.
Object.getOwnPropertyNames() is not the best way to get the involved properties, because it returns all properties, both enumerable or not, and with the prototype's one added: merely use Object.keys().
Likewise, if (oPushObj.hasOwnProperty(key) (note it lacks a closing parenthesis) is overkill where if (oPushObj[key]) is enough.


Note (thanks to @Roamer-1888 for pointing it): this last suggestion is pertinent only if the oPushObh[key] can't contain any falsy value.

Taking in account all the remarks above, here is a modified version of your code, where I also added some comments to explain how it works:

var aSelData = [];
jQuery.each(aDataCollection, function(iIndex, oData) {
    var oPushObj = {};
    // Here oPushObj gets populated
    fnAddEnt(aProperties, oData, oPushObj);
    // Look for matching properties between oPushObj and oData (1st level)
    Object.keys(oData).forEach(function(key) {
        if (oPushObj[key]) {
            // Look for matching properties between oPushObj[key] (2nd level)
            // and oData[key][iIndex] (3rd level)
            var source = oData[key].results[iIndex];
            var destination = oPushObj[key];
            Object.keys(source).forEach(function(sourceKey) {
                if (destination.[sourceKey]) {
                    // Populate oPushObj[key][sourceKey] value
                    destination[sourceKey] = source[sourceKey];
                }
            });
        }
    });
    aSelData.push(oPushObj);
});


Suggested alternate way

You currently use the simple approach of iterating through objects, for each level of the search process. And sure this works.

But you might also consider a different approach, based on extracting the intersection of the objects properties, successively for the 2 involved levels.
IMO the code is slightly more readable this way, making its main part look as a single-line one.
In the other hand, I couldn't assert it's faster.

Here is it:

var aSelData = [];
jQuery.each(aDataCollection, function(iIndex, oData) {
    var oPushObj = {};
    // Here oPushObj gets populated
    fnAddEnt(aProperties, oData, oPushObj);
    // Look for matching properties between oPushObj and oData (1st level)
    for (var key of arrayIntersect(
      Object.keys(oPushObj), Object.keys(oData)
    )) {
        // Look for matching properties between oPushObj[key] (2nd level)
        // and oData[key][iIndex] (3rd level)
        for (var sourceKey of arrayIntersect(
          Object.keys(oPushObj[key]), Object.keys(oData[key][iIndex])
        )) {
            // Populate oPushObj[key][sourceKey] value
            oPushObj[key][sourceKey] = oData[key][iIndex][sourceKey];
        }
    }
    aSelData.push(oPushObj);
});

function arrayIntersect(a, b) {
  return a.filter(key =&gt; b.indexOf(key) &gt; -1)
}