That is normal.  When you added more income, your tax liability increased, so you saw your refund decrease.  The program begins by giving you your personal exemption of $4050 plus your standard deduction—both of which lowered your taxable income. So you are not being taxed on as much of the income on that first W-2.  Then you added taxable income--so the refund went down. Your refund (or tax due) is based on the total of your income, not “per W-2.”  Wait until you have entered ALL of your income and deduction information.  You can't really tell anything until it is all entered.  That “refund monitor” does not mean anything until everything has been entered.

That's common.  It just looks that way because you put them in as separate W2s and saw the tax due change in between them. If it all was on one W2 you would get the same answer. And each job was withholding like it was your only job.

Because you only get one standard deduction and personal exemption (or 2 for Joint), no matter how many W2s you put in. Turbo Tax starts out by giving you the Standard Deduction.  You entered more income when you entered the second W2 but you didn't enter more deductions.  And each job only withheld taxes like it was your only job for the year.  You might want to adjust your withholding.  Also as you add more income you might not be getting as many credits as before like the EIC credit.  And it was probably giving you the EIC credit until you went over.

See, https://ttlc.intuit.com/questions/2273878-why-did-my-refund-drop-when-i-entered-another-w-2