According to Wikipedia, the Transcendental Argument for the Existence of God (TAG) goes like this:
God is a necessary precondition for logic and morality (because these are immaterial, yet real universals).
People depend upon logic and morality, showing that they depend upon the universal, immaterial, and abstract realities which could not exist in a materialist universe but presupposes (presumes) the existence of an immaterial and absolute God.
Therefore, God exists. If He didn't, we could not rely upon logic, reason, morality, and other absolute universals (which are required and assumed to live in this universe, let alone to debate), and could not exist in a materialist universe where there are no absolute standards or an absolute Lawgiver.
From a Christian source, TAG attempts to prove God’s existence by arguing that logic, morals, and science ultimately presuppose the theistic worldview and that God’s transcendent character is the source of logic and morals. It argues that without the existence of God it is impossible to prove anything because, in the atheistic world, you cannot justify or account for universal laws. The article concludes:
The transcendental argument for the existence of God argues that atheism is self-refuting because the atheist must presuppose the opposite of what he is attempting to prove in order to prove anything. It argues that rationality and logic make sense only within a theistic framework. Atheists have access to the laws of logic, but they have no foundation upon which to base their deductive reason within their own paradigm.
That is a brief summary of the Transcendental Argument for the Existence of God. As for whether it is as effective as the usual proofs, or perhaps superior, you will need to make up your own mind.