There are many verses that say that God is omnipotent, sovereign and that nothing happened without his knowledge. If nothing happen without his permissions then gays are a by-product from God. About verses that implies that God made gay; here are examples that come to my mind: Daniel 4, 35 and genesis 1, 26
He does as he pleases with the powers of heaven and the peoples of the earth.
No one can hold back his hand or say to him: “What have you done?” Daniel 4, 35
Then God said, "Let us make human beings in our image, to be like us. Genesis 1, 26
It is very sad that your perception of gays is limited to what was written thousand of years ago. Things have changed quite a bit since then. As long as gays don't transgress the laws of our country: Violence, rape, murder are not acceptable but who care about what is going on in other bedrooms?
Actually, being created in the image of God does not mean that God is created in our image.
God is perfect. He created perfect earthly beings. Then, sin came into the world. Disobedience to God.
The consequence of sin, has been death and destruction. The human genome has gone downhill. For instance, both in the early books of the Bible, and in ancient Egypt, people married their sisters and half sisters. That is actually how the line of succession for the Pharaohs of Egypt was passed down. They kept the line "pure" that way.
Abraham married his half sister, Isaac married a cousin and so did Jacob. A lot of inbreeding, but no genetic mutations. But when the Israelites had intermarried for 400 years in Egypt, the level of mutations started to go up, and God forbade the Hebrews to marry close relatives. Even today, Tay-Sachs - a autosomal recessive genetic disorder is found mostly in Ashkenazi Jews.
As we get farther from creation, our brokenness is producing more and more mutations and deviations. Being gay is a deviation from God's plan for a man and woman to be together.
Another thing to consider, is the studies of overcrowding of rats. In studies which put rats into apartment-like buildings, no access to the outdoors, and overcrowded, usually one dominant male took over the compound. The other males became homosexual to gratify their needs because the females were not available. Whereas the same variety of rats, when kept with enough space, access to sunshine and nature, no homosexuality came out. I think this is so relevant to our society. Many live far from the natural world, or the world the way God created it. People become terribly overcrowded in urban centers. Besides homosexuality, violence also results.
I also know a man who was a medical missionary to Cameroon. He said the whole time he lived and worked as a doctor there, he only met one homosexual. Apparently, it was not socially acceptable to be gay. And so no one was. Which indicates that being gay is a choice!
So no, God did not create homosexuality at all. He created a perfect world, with a perfect man and woman. But sadly and this is the whole point of why Jesus came - man and woman sinned, and death and pain and suffering were the result.