Counif in vertical list for 2 creterias looking for partial and full text inside cell

Hello Friends

In Column A if contains cells E4:E8 (i.e., AAA, BBB or GGG) anywhere inside cell and in Column B if it contains Cells F4:F8 (i.e., X and Y) then need to count in light yellow cells H4 by using formula.

thanks in advance.