Traditionally we would use a special bacteria that can put its DNA into plants.

We would first find a gene we think would be helpful for growing plants and then copy it. Then we would put that gene into the bacteria.

To make sure the bacteria are successfully putting the gene we want into a plant (and not something else) we add an herbicide resistance that comes with the desired gene, so only modified plant cuttings survive. The plant cuttings grow up and are tested again to make sure they also have the desired gene and not just the resistance.

CRISPR, like another person mentioned, is no more a machine than you or I. CRISPR is a protein with some guiding RNA that tells crispr to cut DNA at specific spots, allowing us to squeeze in a gene at the cut spot.

Bacteria doesn't do the inserting, and we have more control over exactly what and where a gene is put into a plant's genome.

Most of the plants which are labelled as GMOs are transgenic (I.e. they have had a gene from another type of plant inserted into their genome). There is nothing inherently wrong about this, however it comes with a whole load of ethical, political, and some biological implications which I won’t get into. At the end of the day, it is extremely hard to get a GMO into market (and for good reasons), so much so that not very many are actually commercially grown, and many countries ban their cultivation altogether.

A gene edited crop is one which has a bit of a gene (or genes) literally edited. Think of it like when you’re writing an essay, and you go back and change the letter of a word, as opposed to completely replacing the word and in a different font, size, and colour (which would be GMO). The good thing about gene editing technology is it just replicated what would happen in nature: a little change (in evolution we call it a mutation) in the genetic code causing an advantageous change in the organism. Gene editing basically fast-forwards this process. Because of this, governments are becoming a lot more inclined to allow crops which have been edited to be commercially grown. This technology is still relatively new, but it’s potential is seemingly limitless, so expect some big advances in crop improvement in the coming years!

TLDR: GMOs have genes from other species added to them, gene edited crops have their genes slightly altered to improve the crop’s performance.

Genetically modified means a wide range of things. Breeding two plants together to get better resistance or grafting one on another is genetically modified. This is using an actual machine to modify genes.