Assuming you are filing Married Filing Jointly, you may contribute to a Roth based on your combined income. If you are filing separately, then you do not have any earned income to contribute a Roth and the contribution would need to be withdrawn by April 18 to avoid a penalty.
To report the contribution, you will report it as if you you made the contribution yourself. Go to federal>deductions and credits>retirement and investments>traditional and Roth Contributions. As you proceed through this section and if married filing jointly, here will be a section for you to enter your contribution (includes a contribution made on your behalf) to the Roth and another section where your wife would report her contribution to her Roth, assuming she made one.
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