Shighar means that a person should say to the other person: Give me the hand of your daughter in marriage and I will (in return) marry my daughter to you; or merry me your sister, and I will marry my sister to you.
نَهَى رَسُولُ اللَّهِ ﷺ عَنِ الشِّغَارِ زَادَ ابْنُ نُمَيْرٍ وَالشِّغَارُ أَنْ يَقُولَ الرَّجُلُ لِلرَّجُلِ زَوِّجْنِي ابْنَتَكَ وَأُزَوِّجُكَ ابْنَتِي أَوْ زَوِّجْنِي أُخْتَكَ وَأُزَوِّجُكَ أُخْتِي