Thanks for reaching out to the Community, @PEInc.
Transferring time to payroll should not duplicate, or have any differences than what you approved in TSheets. There could be a variety of things happening here! If you could include some screenshots of the time in TSheets, as well as the time you're seeing in your payroll, this would be really helpful in deciphering what is going on here.
I look forward to hearing from you!