Start-up Jobs and Innovation Act - Amends the Internal Revenue Code to: (1) make permanent the increase to $500,000 of the expensing allowance for business assets, including computer software, and the treatment of qualified real property as depreciable business property; (2) make permanent the 100% exclusion from gross income of gain from the sale or exchange of small business stock; (3) increase and equalize the tax deduction for business start-up expenses and organizational expenditures; (4) increase from $5 million to $10 million the gross receipt test used to determine the eligibility of small businesses to use simplified cash accounting and inventory rules; and (5) exempt from passive loss rules any research activity carried on by a high technology research small business pass-thru entity.