Hi, i'm a new Honda's owner --- bought a del sol to my girlfriend

But there is a problem with gearbox, when the oil is gold(in the morning) the shifting is rough...(she has to shift gears with both hands

) And I decided to change the oil, I was advised to use synthetic oil 75w90 GL5 and i bought a valvoline's oil. but now i heard that other oils are bad to the gearbox!? Is it correct that my valvoline 75w90 GL5 can break my gearbox??
help needed...