Deductions & credits

Just to let you know filing separately when you are married is the worst way to file.  If possible you should file as Married Filing Jointly.

See this TurboTax support FAQ for filing jointly or separately - https://ttlc.intuit.com/turbotax-support/en-us/help-article/taxation/better-married-couple-file-join...

 

For your question, when filing separately you can only deduct the medical insurance premiums that you actually paid for from your own funds on each tax return.  You both must either use the Standard Deduction or Itemized Deductions on your separate tax returns.  So, if one of you uses Standard Deductions then the other also must use Standard Deduction.  Likewise, if one of you uses Itemized Deductions then the other must also use Itemized Deduction on their return.