What car is it? Which oil cooler did you change?
My car had the same problem , Turned out to be the transmission oil cooler , But I was also told that there is another engine oil cooler that could also leak. It looks like a smaller boxy type version of the transmission oil cooler and is next to the Oil filter.
I have a 318i N42 engine Automatic.
Did you check if there is oil and water mixing in the engine? I believe you can check it through the oil filler cap or dipstick . It makes the engine oil look like milkshake ..sort of .
Dear all I have had the problem of oil and water mixing I changed the oil cooler however this stopped the problem temporarily. There is oil once again in the tank almost like caramel consistency