If I were you I'd consider a rug that has the neutral tones but also something that has a bit of colour that you can use for inspiration to then pull out for cushions. Remember browns can be cool (blue/grey) or warm (orangier). It looks from the picture that the browns in the pic are warmer so i would go orange/magenta. Keeping in mind I know nothing about your style or colour preferences, I put together this visual to give you an example of how you could work it by pulling out colours from the rug, using texture for interest and mimicking the circles in the picture to bring it together. You may also be interested in reading a blog I wrote a while ago about how to pick a colour theme that works.

I like the triangular pattern and stag head, however the teal does not seem to blend in well with the dining chair covers. You could try matching the ochre colour in the triangles in the plain cushions.

We have just delivered our custom made lounge seat cushions with new outdoor foam. The lounge seat cushions and back rest cushions are made with UV Pro Fabric in Design: Archipelago Colour: Mushroom and scatter cushions in outdoor fabric from Unique Fabrics in Design: Bullet Colour Mulberry.

If I remember, you are in Perth. Living Emporium have a massive range of cushions. They used to have a shop at the success shopping centre, but no longer. Check their website. You may have to travel to Joondalup etc. Adair’s, bed bath and table, king living, coco republic, all have cushions.