Hi NNischal ,
Make sure you have the correct Vertices Selected.
It can also be, that you have 'Double Vertices'. Try M > Merge > By Distance.
It could also be, that the speakers are a Separate Object; you cannot connect Vertices from two different Objects. If that's the case: in Object Mode, Select the speaker and then SHIFT+Select the console and CTRL+J to Join them.
These are the most likely causes, I think.
yeah I joined the objects and it did connect but I 
have another problem now sir, when I try to form a face by joining faces it connects weirdly
If you select 4 vertices and hit F to create the face, those you point out as extra faces are ok, it's how it goes, they will become part of the loop. It's weird to communicate via text and screenshots, can you make a screengrab video, so we can easily see what you mean? From the screenshots doesn't look like anything is wrong.
Oh I finally fixed it, it was being beveled due to the bevel modifier enabled in the speaker mesh
