Employee reimbursement

I reimburse employee business expenses in their paycheques.

Would I need to do a Journal entry for this reimbursement?

I don't want to double enter it.

If I don't need to JE, how to I record the taxes for the transaction and cost it to a project?

whenever I search the reimbursed amount, I find the in the paycheque which makes me believe it's been entered. but I am not sure.

Thanks