Does Medicare pay for any of the caregiver costs?

Medicare may pay for some in home help for a short while. A bath aide. visiting nurse things like that when prescribed. A PT may also visit. Necessary equipment if prescribed and deemed by Medicare to be necessary but it can be like pulling teeth. there is of course a co-pay for all this. If the patient is close to end of life consider hospice. Medicare pays for all services provided

No. Medicare is for medical bills.

Look to see if the person you are caring for has insurance for long term care.