Thanks. Sorry, but I've listened to this several times now after your comment, and I still can't hear the lag/delay.My only comment is to work on the timing of the instruments. For example, the pulse is set at the beginning with the strings, but when the drum comes in... it's not a bit behind the beat. And when the third instrument comes in (at 0:05), that one sounds even more delayed. Also, the release / reverb on that third instrument makes things feel a bit 'washy', so maybe you can tighten that up too?
So, I would focus on timing for now.
PS - This might be a case where all the notes look aligned correctly on the MIDI grid, but due to changes in each library's sample start, it's not quite in time. Use your ears to spot the differences and you should be ok.