It isn't possible to directly modify the fill if you're using the SVG using the <object>
method. The SVG is included as a document fragment inside the object tag, so your properties aren't passed as you can see in this image.
However, there are two ways you can modify the colors of an external SVG.
1) Use Javascript (recommended)
Using Javascript you can fetch the SVG contents via an XHR, and then inject it as inline SVG. As it's inline SVG technically, you can modify the fill color. There's a library I have written (svg-loader) that make it really easy to do this.
You just need to include the library and use data-src attributes to load SVGs.
Example:
Here, I have included a logo in three different formats, modifying the fill color.
<script type="text/javascript" src="https://unpkg.com/external-svg-loader@latest/svg-loader.min.js" async></script>
<div style="display:flex;">
<div style="background:black;">
<svg data-src="https://s2.svgbox.net/assets/logo-white.svg" fill="yellow"></svg>
</div>
<div style="background:purple;">
<svg data-src="https://s2.svgbox.net/assets/logo-white.svg" fill="white"></svg>
</div>
<div style="background:green;">
<svg data-src="https://s2.svgbox.net/assets/logo-white.svg" fill="red"></svg>
</div>
</div>
2) Use filter CSS property
You can use the filter
CSS property to reach any color using bunch of operations (brightness, contrast, hue-rotate..). There an existing stack overflow discussion on this.
Example:
.red {
filter: invert(20%) sepia(97%) saturate(4013%) hue-rotate(353deg) brightness(93%) contrast(127%);
}
<img src="https://s2.svgbox.net/assets/logo-white.svg" class="red" />
The big drawback here is that you'd need to calculate this for every color (using this) and doesn't make it obvious how it works. Also, it won't work well with SVGs having multiple colors.