You don't have to report it on your tax return.
Under Section 1041(a) of the Internal Revenue Code, spouses can transfer property to each other (or ex-spouses if the transfer is pursuant to a divorce) without recognizing gain (or loss) on the transaction.
As to the mortgage payments, they are deductible by any person who is liable for the loan, and makes the payments.
@jet90
[Edited 01/24/2020|8:09 PST]
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