When I turn on my 92 accord 1/2 the time makes grinding noise while turning over

Also, check to be certain the starter is installed properly; it must be in "straight and tight" to properly engage the flywheel. Worth double-checking.

Was the flywheel inspected (all the way around) when the starter was out? IF it was grinding before you replaced the starter , I would suspect some 'bad' spots on the flywheel(teeth worn down).