"made record of" is grammatically correct and can be used in written English.
It means to create a written or recorded account of something. Example: The historian made record of the events leading up to the war in his book.
His recording of the work with the London Symphony Orchestra made "Record of the Year" lists in 1988.
The song was made record of the week on Radio 1 and has since been given the ultimate accolade any ghostly, piano-led torch song can get: soundtracking an American TV show about vampires.
Something in the awful disturbance of his organic system had so exalted and refined them that they made record of things never before perceived.
The good people at Laptop Magazine took their demo model for a stroll about town, and made record of the reactions from the common man.
In the semifinals of the 2011 Big Ten Tournament against Ohio State, he set the Michigan freshman single-season three-point shots made record of 74.
Roman historians Josephus and Tacitus made record of His existence in the early Christians, disciples who formed and taught shortly after His death.
Forensic psychiatrists said that many sexual killers made records of their acts or kept mementos to revisit the experience.
Other civilizations made records of them, such as the Greeks, Egyptians and the authors of the Hebrew Bible.
—Prime Minister Justin Trudeau's political headache worsened Friday after his former justice minister released a secretly made recording of her conversation with Canada's top public servant.
Well into the '80s, he made records of varying quality that, for the most part, didn't sell.
The study doctors made records of CHD and the risk factor status of each patient.
