Trying to Calculate # of Games Played between dates

Attached is the file

In sheet one - Players Injurys
Column E has the start date of injury
Column F has the end date of injury
Column G has the team ID

Sheet two - Team Games
Column A has Team ID
Column B has the game number
Column C has the date of the game

In sheet one, Column H i would like to have the number of games missed. Only looking for player highlighted in yellow.

Thanks in advanced for any help.