Which one is more widely used in native english environment ? Is there any different meaning between these two sentences ?
Be sure to turn off the lamp before you sleep.
Make sure to turn off the lamp before you sleep.
Which one is more widely used in native english environment ? Is there any different meaning between these two sentences ?
Be sure to turn off the lamp before you sleep.
Make sure to turn off the lamp before you sleep.
I would say "be sure to turn off the light" or "make sure you turn off the light" interchangeably, with a slight preference for the second form. I think "make sure to turn off the light" is okay grammatically. It's just less common.
This answer on ELU has some good, objective information about the relative frequency of the different phrases that's consistent with my first reaction.