After you file

No.   Why did you buy both?   The Desktop program can do unlimited returns and efile 5 federal for free.   And All the Desktop programs have the same forms. You just get more help and guidance in the higher versions.  So Deluxe will work for everything.   

Why do you need Home & Business?   Do you need to file a separate Business or Estate/Trust return?   Then you need Turbo Tax Business which is separate from Home & Business.   Home & Business is mainly for personal 1040 returns the need Schedule C for self employment.