Desk top rankings differ from mobile rankings
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Hi there! We are working on clients site for SEO.
We have noticed that our clients 'desk top search results' on Google differ from the 'mobile / tablet search results'.
For the desktop - the client is in the top 4 results of page one for Google, but for mobile / tablet results they are at the bottom of page one.
We converted the clients site to be responsive 6 months ago. We have been through Google webmaster tools and made all suggested alterations. All programming is to a high standard.
Competitors all seem to keep their current rankings - whilst our clients seem to drop.
Any suggestions what the issue is would be very much appreciated

Thanks in advance.
Phil.
. We re-built their website so that it was responsive. We have been
But -
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Hi Phil,
It's not uncommon to see different results on each since Google does use two separate crawlers for desktop and mobile and have been for quite some time. Moz covered this back in 2012 and also linked to a tool that allows you to see how your site looks on various mobile devices (apologies if you already knew all of this!)
A very broad way to look at improving your mobile rankings is to improve your site's overall SEO to provide a stronger product and also put some emphasis on the mobile user experience. For example, if the site has a hero image that takes up 1/3 of the page on desktop, make sure your responsive version of this image scales down nicely so it isn't taking up 200% of their screen height and forcing content well below the fold.
You said you've already been through Google's suggested fixes which is great and it also means the load speed is probably pretty good now too.
For a bit more detailed info, both Search Engine Land and Marketing Land covered this in 2016 and both are worth a read.