technology-savvy or technologically savvy?

The first, technology-savvy, indicates a population that is knowledgeable about the tech we have - we know how to navigate it, how to operate it, etc. It would be translatable as savvy about technology - the tech that already exists, and we know the tricks and tips for.

The second seems to indicate the population is technologically minded, that is, will go looking for (and developing) technology to solve problems with. This would mean our savviness is technological in nature, that we will tend to find solutions in that way instead of leaning on other kinds of knowledge.

For most applications, the two are fairly interchangeable. It seems to me if one really thinks hard about the choice, the former might seem a little more limited, and the latter a touch more flexible - the difference between knowing details of the tech we have and developing tech, so to speak. But, we can use either to say we tend to be clever about technology, both how we use it and what we can do with it.

Honestly though, @NagarajanShanmuganathan is right - "tech savvy" would probably be more common than either usage. "savvy" is a short word, often used informally or casually - tech is equally short and casual, and the phrase rolls of the tongue better in a way that implies ease. It also neatly sidesteps the question of how exactly to phrase the term, since "tech" can be a shortened form of either.