How to record ongoing owner "loans" for expenses

@Aperin 

"I created a liability account and recorded journal entries for all of these transactions, but they are not showing up as vendor expenses."

Unfortunately journal entries (JE) don't show under the vendor's account in QBO.  If you debited an expense account then the JE is increasing the expense you would just need to run a different report to see it. 

IMO, the best way to record transactions where the owner personally pays for business expenses and wants to get reimbursed is to use a $0 Expense (New > Expense) transaction.  On line 1, enter the expense as a positive amount.  On line 2, enter the liability account and amount as a negative so the transaction nets to $0.  The expense will show under the vendor's account and both the expense account and the liability account will be increased by the amount of the expense.