Hello,
This is doable as from a tax standpoint the owner is a separate entity from the LLC whom he will be renting the property he personally owns out to. This will not be reported on the Schedule C but rather on the Schedule E as it is primarily passive rental income. Having rental properties be reported on the Schedule C has a multitude of requirements to prove the active involvement and treatment of the property as a business, similar to how hotels operate.
The other information is true as the owner will be able to claim the rents claimed from the LLC as well as the expenses incurred such as mortgage interest, taxes, insurance, repairs, depreciation etc. on the Schedule E. Likewise, the LLC will be able to claim the rent as an expense to reduce its overall net profit.
It is highly suggested to speak to CPAs who are experienced on these matters directly so you can go over the information in detail which is not advised to be done on an online forum. There are some variables that need to be considered and accounted for to make sure this option will actually be beneficial and not detrimental.