12-bit PWM for LED lighting

But in my specific case I need to use 2 outputs with these same characteristics, pin 9 and pin 10, which correspond to the same timer1, but to regulate independently the light intensity of each PWM output.

The code in reply#27 (and also in several other earlier postings) uses Timer1 in Mode 14, fast PWM with ICR1 as the top value.

You should be able to use that mode and have use of both timer output pins. What have you tried?