How can I move Universal Filter's Search Bar into my Header?

I'm not sure if this forum is open to helping with plugins, but I am hoping to move my Search Bar (part of the Universal Filter plugin) into my Header - to sit to the left of the Cart. Is this possible?

Thanks.

https://echidna-mandolin-33c8.squarespace.com/shop/packs

PW: hello

Have you tried asking the devs of UNVPLGN in their slack server? You get free support with purchase and they have been good for helping me with questions in the past. Other than that, I have no idea lol. 

@1Alex1 Ha. Thanks for the suggestion. I did want to contact their team but my message kept saying 'Failed'. Guess I'll keep trying. Cheers!