So, the question is: which author has competently taken into account this stream of philosophy? My first stab would be to read Bertrand Russell, especially his The History of Western Philosophy (1945). But a second, and an improved reading would be to read everything written by C. D. Broad. Why? Because Russell remained an empiricist, while Broad had absorbed Kant, while still critically having surveyed the history of philosophy. [See my: Philosophical Alternatives from C.D. Broad]
There is an outstanding philosopher — Wilfrid Sellars. [See my: Problems from Wilfrid Sellars] But I would not recommend reading Sellars to a novice because he is too technical. He assumes a knowledge of current technical philosophical literature. He can be appreciated only by professional philosophers. However, several books have now been published with the intention of making him more accessible to a wider audience. Wilfrid Sellars was trying to come to grips with Kantian themes, as have many other Kantian scholars.
One such outstanding Kantian scholar is Robert Paul Wolff, who published his findings in the book Kant’s Theory of Mental Activity (1963). His lectures on Kant, given in 2016, are available on youtube, and I recommend them. Here they are:
As a caveat, I just want to point out that neither Sellars nor Wolff had available to them C. D. Broad’s book: Kant. The reason is that Broad had written out his Kant lectures in 1950-52, and this manuscript was only published by C. Lewy in 1978.
Also see: Kant and Building a Robot