Then you are doing something wrong, either when exporting or importing.
I'm only familiar with Pro Tools and Digital Performer. However, you don't import the sound bytes. In Pro Tools you use "Import Session Data." This imports the video and audio tracks. The audio tracks are (most of the time) completely sequenced/synced.
Did you read the goddamn manual? Took me about 90 seconds to find this:
Export an OMF file
1. In a Timeline panel, select a sequence.
2. Select File > Export > OMF.
3. In the OMF Export Settings dialog box, type a title for the OMF file into the OMF Title field.
4. From the Sample Rate and Bits Per Sample menus, choose the settings needed for your sequence.
5. From the Files menu, choose one of the following:
EncapsulateWith this setting, Premiere Pro exports an OMF file containing the project metadata and all the audio for the selected
sequence. Encapsulated OMF files typically are large.
Separate AudioWith this setting, Premiere Pro exports individual mono AIF files into an _omfiMediaFiles folder. The folder name contains
the OMF filename. Using AIF files assures maximum compatibility with legacy audio systems.
6. From the Render menu, choose one of the following:
Copy Complete Audio FilesWith this setting, Premiere Pro exports audio for the entirety of each clip used in the sequence, no matter how
many times the clip is used nor how many parts of the clip are used.
Trim Audio FilesWith this setting, Premiere Pro exports only the portions of each clip that are used in the sequence: the clip instances.
You can choose to export each clip instance with extra length, handles, added to the start and end of the file.
7. In the Handle Frames field, specify the length of the handles, in video frames. This amount of time is added to the start and end of the
exported files when you choose Consolidate Media. The default setting is one second, in frames, at the sequence frame rate. If the length of
the handles you specify exceeds the length of the clip instance, Premiere Pro exports the whole clip instance.