Isaiah 1 and Genesis match on the following themes:
The second verse of Isaiah is a play on Yahvah's creative acts at the beginning of Genesis.
As you read further in Genesis 1 it's clear God used words to create. When the opening line of Isaiah addresses the Heavens and Earth by telling them to "listen up," it's clear the book of Isaiah is matching the creation account at the beginning of Genesis.
The "children" God raised may have more than one application within the book of Genesis.
The first and most obvious application which immediately follows the creation account is the raising and rebelling of Adam and Eve in the Garden of Eden. Remember how Adam and Eve rebelled? They followed the advice of the serpent and ate from the tree of the knowledge of good and evil, something Yahvah had forbidden.
Considering the specific way Adam and Eve rebelled against Yahvah's command, look again at Isaiah 1:3. It says the ox knows it's master and the donkey it's feeding trough. Adam and Eve did not obey their master, Yahvah, but followed the advice of the serpent. Adam and Eve ate from a tree that was not theirs.
The second possible application of these verses is to the family of Jacob near the end of Genesis. The word "children" is sometimes translated "sons" and may point to the sons of Jacob. That match is not as clear, but the nature of the Bible is to reuse the same stories again and again so the events at creation and in Eden could be related to the stories about the twelve sons and going to Egypt for food. I'm not totally sure.
Isaiah 1:9 references the cities of Sodom and Gomorrah from the book of Genesis. Yahvah destroyed these and three other cities with fire. Abraham witnessed the burning cities from a distance.
The reason Isaiah would draw on the imagery of Sodom and Gomorrah is probably two-fold.
First, the Assyrian military, after hauling away the ten northern tribes of Israel, swung through the southern kingdom of Judah and captured (and probably burned) every "fortified" city except Jerusalem (Second Kings 17-18 and Isaiah 36-37). From the perspective of Isaiah, King Hezekiah and the remnant that survived these events from inside the city walls of Jerusalem, the landscape probably looked something like what Abraham witnessed when he rose early in the morning and watched the five cities burn.
Secondly, the Israelites had apparently slid someways from their devotion to Yahvah and in many respects were more like the Sodomites than not. Isaiah says the reason the scenery looks like Sodom and Gomorrah is because you are them. Isaiah even addressed the survivors in Jerusalem as the people of Sodom and Gomorrah.