Is it possible, in an LLC with two members, for all of the taxes to "pass through" to one of the members, resulting in the LLC having no effect on the other member's taxes? The non-tax-paying party does not care about receiving profits, and is only involved because the other member is a minor and there needs to be an adult co-owner to sign contracts.
Under U.S. law, an LLC taxed as a partnership rather than as a corporation (the default rule for multimember LLCs in the U.S.), is a pass through entity that allocates income and expense and tax credits as set forth in its operating agreement. This allocation must have "substantial economic effect" to be valid.
So, if both members receive economic benefit from the company, then they must both have taxes pass through to them in a way that reflects this economic benefit. But, if only one member receives an economic benefit than allocating all taxes to that member is appropriate.
This said, it isn't obvious that the solution proposed is a correct way to deal with the state law issues of the contractual capacity of a minor.