What would you do if you had two very different Values of Cohen's D?

#1
I conducted a factorial ANOVA.. and I found a significant interaction.

I used two independent samples t-tests to conduct a further simple effects analysis

one group always had higher accuracy than the other group regardless of the condition.

However: condition 1 had an extremely large value of Cohen's D, d= 3.26 and condition 2 had a Cohen's D value of 0.53

meaning there is a difference of 2.73!

What does this mean???? - obviously the effect was much greater for condition 1 but would it require some form of additional analysis?