What Kind of Logical fallacy is This?

I also would like to hear more of the exchange to make a judgment. Maybe A is committing what we used to call a Straw Man fallacy, although today it would be a Straw Person fallacy.

People often twist one another's arguments to make a point. Not good.

A:So You are saying X is bad? (This might be a strawman fallacy, because "A" is saying, "So you are saying."
B:No I didn't say that X is bad you are the one who said that?Why are you putting your own logic and making everyone believe That I was the one who said that when I didn't? (This might be "psychological projection" and or "gaslighting".

The exchange between A and B you have provided is a bit lacking in context. If person B never made the point or implied that X is bad, then A could be missing the point by assuming B said X is bad. If B only made a slight criticism of X, then A would be strawmanning by assuming B said X is bad (substituting what B said with an exaggerated version). It appears though as if A believes X is bad and just wants it to appear as though B is the one who said it, which is just a form of manipulation and dishonesty rather than a fallacy.

If I understand the situation correctly this sounds more like a psychological condition known as projection transfer described as :

Psychological projection is a defense mechanism people subconsciously employ in order to cope with difficult feelings or emotions. Psychological projection involves projecting undesirable feelings or emotions onto someone else, rather than admitting to or dealing with unwanted feelings.

However if "B is indeed telling the truth" then A's behavior might match what Dr. Bo describes as:

Fantasy Projection Fallacy

Description: Confusing subjective experiences, usually very emotionally charged, with objective realities, then suggesting or demanding that others accept the fantasy as truth.

Logical Form:

Person 1 has subjective experience X.

Person 1 incorrectly believes that experience X represents reality.

Therefore, person 1 insists that others accept that X represents reality.

Example #1:

Freddie: People are mean to me wherever I go. It is clear that we live in a cruel world with nasty people. If you don't see that, something is wrong with you!

Explanation: Perhaps people are mean to Freddie because Freddie is mean to others, and it's Freddie's behavior that is resulting in the "mean" behaviors of others (this is known as a self-fulfilling prophecy). Freddie is projecting his experience, which is unique to him, onto the world at large. He is insisting that other people see humanity the way he does.

Example #2:

We are all surrounded by Narggles. These are spiritual beings who help us through life. We know they exist because they are the ones that give us the confidence to move forward in a decision.

Explanation: Ignoring the circular reasoning (how we "know" Narggles exist), one person's fantasy might be their own reality, but not everyone else's.

Tip: When you make a bad decision, that is due to Kerplunkers.

References:

This a logical fallacy frequently used on the Internet. No academic sources could be found.

In this particular instance, it appears that A is engaged in a version of Ipse Dixit, but instead of ('he said so himself') (Definition) he's falsely attributing or projecting on B a claim he never made. (You said so yourself.)