What does Genesis 33:11 mean?
Jacob continues to urge his brother Esau to accept his large gift of livestock (Genesis 32:13–17). At the time, that offering was partly motivated by fear that Esau was still committed to revenge (Genesis 27:41–45; 32:6–8). As it turned out, Esau was happy to be reunited with his estranged brother (Genesis 33:4).In the prior verse Jacob referred to his gift of livestock to Esau as min'hāt 'ani, meaning "my gift." Now, as he presses Esau to accept it, he calls it bir'kāt 'ani, meaning "my blessing." This might mean Jacob intends this as partial restitution for stealing their father's blessing twenty years ago (Genesis 27:19–29). He has been blessed by God and wants Esau to share in at least part of this prosperity.
Jacob also mirrors Esau's language, saying he has enough because God has dealt graciously with him. Jacob credits God with his success and his ability to give generously a portion of what he has acquired to his brother.
In that era, it might have been common to make a show of refusal and insistence when giving gifts. However, it's also possible that Jacob wasn't sure he could really trust Esau's forgiveness unless Esau accepted Jacob's gift. Esau's agreement to take the gift would put an obligation on his honor, making it very difficult for him to justify any later violence against his brother.