Object projection in openGL ES 2 - ios

Question

I want to draw object within ar but got unexpected result - gl mashine think that i see object from another side (or from inside).
Here image what i want to draw (taken from separate project)
And here - what i got when try to draw this object in my ar (inside of the sphere)
So I guess that problem is that because I put object inside sphere and adjust position of obj using base mat from sphere obj.
Camera positioned in the center of the sphere - so for this obj I use same mat - just scale/rotate/translate it.
This is how I calculate projection mat
CGRect viewFrame = self.frame;
if (!CGSizeEqualToSize(self.newSize, CGSizeZero){
size = self.newSize;
}
CGFloat aspect = viewFrame.size.width / viewFrame.size.height;
CGFloat scale = self.interractor.scale;
CGFloat FOVY = DEGREES_TO_RADIANS(self.viewScale) / scale;
CGFloat cameraDistanse = -(1.0 / [Utilities FarZ]);
GLKMatrix4 cameraTranslation = GLKMatrix4MakeTranslation(0, 0, cameraDistanse);
GLKMatrix4 projectionMatrix = GLKMatrix4MakePerspective(FOVY, aspect, NearZ, [Utilities FarZ]);
projectionMatrix = GLKMatrix4Multiply(projectionMatrix, cameraTranslation);
//and also here added some code for modifying, but I skip it here
For this obj I just calculate new scale and position of obj - looks like it's correct because I able to see obj and change his position etc, so skip this part.
In the second project where I got correct result of displaying obj I calculate projection mat in similar way, but with a little bit less calculation:
float aspect = self.glView.frame.size.width / self.glView.frame.size.height;
GLKMatrix4 projectionMatrix = GLKMatrix4MakePerspective(GLKMathDegreesToRadians(65.0f), aspect, 0.01f, 100);
//scale
//rotate
//translate
GLKMatrix4 modelViewMatrix = GLKMatrix4MakeTranslation(0.0f, 0.0f, -1.5f);
modelViewMatrix = GLKMatrix4Multiply(modelViewMatrix, projectionMatrix);
GLfloat scale = 0.5 *_scale;
GLKMatrix4 scaleMatrix = GLKMatrix4MakeScale(scale, scale, scale);
modelViewMatrix = GLKMatrix4Translate(modelViewMatrix, _positionX, _positionY, -5);
modelViewMatrix = GLKMatrix4Rotate(modelViewMatrix, _rotationX, 0.0f, 1.0f, 0.0f);
modelViewMatrix = GLKMatrix4Rotate(modelViewMatrix, _rotationY, 1.0f, 0.0f, 0.0f);
modelViewMatrix = GLKMatrix4Multiply(scaleMatrix, modelViewMatrix);
In first project (correct one) I also use
glEnable(GL_DEPTH_TEST);
glDepthMask(GL_TRUE);
glDisable(GL_CULL_FACE);
In second with few obj - depend from obj that I want to draw:
glClearColor(0.0f, 1.0f, 0.0f, 1.0f);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glDisable(GL_SCISSOR_TEST);
glDisable(GL_DEPTH_TEST);
glDisable(GL_CULL_FACE);
//call sphere draw
glEnable(GL_DEPTH_TEST);
glEnable(GL_CULL_FACE);
//call obj draw
glEnable(GL_SCISSOR_TEST);
So as I sad before, I guess that the problem is that openGL "think" that we are looking to obj from another side, but I'm not sure. And if i'm right how can i fix this? Or whats done incorrect?
Update
#codetiger I check ur suggestions:
1) Wrong face winding order - recheck it again and try to inverse order, also try to build same model in another project (all works perfect) - result i guess that order is ok;
2) Wrong Culling - check all combinations of
glDisable / glEnable with argument GL_CULL_FACE
glCullFace with argument GL_FRONT, GL_BACK or GL_FRONT_AND_BACK
glFrontFace with argument GL_CW or GL_CCW
What i see - a little bit change but i see still incorrect obj (or wrong side or partial obj etc)
3) vertices are flipped - try to flip them, as result - even worse than before
4) try to combine this 3 suggestion one with another - result not acceptable